Vladimir K. Dobrev

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Person:531031

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zbMath Open dobrev.vladimir-kMaRDI QIDQ531031

List of research outcomes

PublicationDate of PublicationType
Invariant Differential Operators for Non-Compact Lie Groups: the $Sp(n,1)$ Case2023-12-28Paper
Jordan algebraic interpretation of maximal parabolic subalgebras: exceptional Lie algebras2023-01-09Paper
Invariant differential operators for the Jacobi algebra $ {\cal G}_2$2021-08-29Paper
On Reducible Verma Modules over Jacobi Algebra2021-08-27Paper
Classification of the Reducible Verma Modules over the Jacobi Algebra $ {\cal G}_2$2021-05-15Paper
Positive energy unitary irreducible representations of the superalgebra osp(1|8,R)2021-04-24Paper
Parabolic Verma Modules and Invariant Differential Operators2019-12-13Paper
Jordan Algebraic Interpretation of Maximal Parabolic Subalgebras : Exceptional Lie Algebras2019-05-01Paper
Multiplet Classification of Reducible Verma Modules over the $G_2$ Algebra2019-03-27Paper
Invariant differential operators. Volume 4: AdS/CFT, (super-)Virasoro, affine (super-)algebras2019-02-06Paper
Invariant differential operators. Volume 3: Supersymmetry2018-04-30Paper
Anti de Sitter Holography via Sekiguchi Decomposition2017-07-13Paper
Invariant differential operators. Volume 2: Quantum groups2017-07-07Paper
Multiparameter Quantum Minkowski Space-Time and Quantum Maxwell Equations Hierarchy2016-12-15Paper
Invariant differential operators for non-compact Lie algebras parabolically related to conformal Lie algebras2016-08-12Paper
Invariant differential operators. Volume 1: Noncompact semisimple Lie algebras and groups2016-08-02Paper
Classification of Conformal Representations Induced from the Maximal Cuspidal Parabolic2015-11-16Paper
INVARIANT OPERATORS IN SCHRÖDINGER SETTING2015-11-04Paper
Special Reduced Multiplets and Minimal Representations for SO(p,q)2015-07-03Paper
Positive Energy Unitary Irreducible Representations of the Superalgebras $osp(1|2n,R)$ and Character Formulae2015-06-07Paper
Invariant Differential Operators for Non-Compact Lie Groups: the $SO^*(12)$ Case2015-04-16Paper
Multiplet classification for SU(n,n)2014-12-27Paper
CONSERVATION LAWS FOR SO(p,q)2014-09-18Paper
NONRELATIVISTIC HOLOGRAPHY — A GROUP-THEORETICAL PERSPECTIVE2014-04-08Paper
Invariant Differential Operators for Non-Compact Lie Groups: the Reduced SU(4,4) Multiplets2014-02-02Paper
Invariant Differential Operators for Non-Compact Lie Groups: the Reduced SU(3,3) Multiplets2013-12-20Paper
Classification of Invariant Differential Operators for Non-Compact Lie Algebras via Parabolic Relations2013-11-29Paper
Explicit character formulae for positive energy unitary irreducible representations ofD= 4 conformal supersymmetry2013-11-01Paper
Invariant Differential Operators for Non-compact Lie Groups: The Sp(n, IR) Case2013-07-18Paper
Special Reduced Multiplets and Minimal Representations for Sp(n,R)2013-01-13Paper
Group-theoretical classification of BPS and possibly protected states in \(D=4\) conformal supersymmetry2012-01-18Paper
EXOTIC BIALGEBRAS: NON-DEFORMATION QUANTUM GROUPS2012-01-01Paper
Group-Theoretical Classification of BPS States in D=4 Conformal Supersymmetry: the Case of (1/N)-BPS2011-12-15Paper
Comment on ``Minimal parabolic quantum groups in twist deformations by M. Ilyin and V. Lyakhovsky on a ``new deformation of \(GL(2)\)2010-06-25Paper
Note on centrally extended su(2/2) and Serre relations2009-08-18Paper
The exceptional Lie algebraE7(−25): multiplets and invariant differential operators2009-08-04Paper
Invariant Differential Operators for Non-Compact Lie Groups: the $E_{6(-14)}$ case2008-12-14Paper
Exotic Bialgebras from 9x9 Unitary Braid Matrices2008-12-11Paper
Higher dimensional multiparameter unitary and nonunitary braid matrices: Even dimensions2008-12-08Paper
Positive energy representations, holomorphic discrete series and finite-dimensional irreps2008-11-13Paper
Higher dimensional unitary braid matrices: Construction, associated structures, and entanglements2008-10-14Paper
INVARIANT DIFFERENTIAL OPERATORS FOR NON-COMPACT LIE GROUPS: PARABOLIC SUBALGEBRAS2008-09-12Paper
https://portal.mardi4nfdi.de/entity/Q54271082007-11-19Paper
Representations and characters of the Virasoro algebra and N=1 super-Virasoro algebras2007-09-02Paper
Characters of the Unitarizable Highest Weight Modules over the N=2 Superconformal Algebras2007-08-13Paper
Decompositions of superfields in \(D=4\) conformal SUSY2007-03-27Paper
Exotic bialgebra \(S03\): representations, Baxterisation and applications.2007-02-14Paper
q-Plane Wave Solutions of q-Weyl gravity2007-02-04Paper
Invariant differential operators and characters of the AdS4algebra2006-07-13Paper
https://portal.mardi4nfdi.de/entity/Q57143562005-12-30Paper
https://portal.mardi4nfdi.de/entity/Q54626132005-08-02Paper
q -conformal invariant equations and q-plane wave solutions2004-12-15Paper
Duality and representations for new exotic bialgebras2004-12-14Paper
Induced representations of the two-parameter Jordanian quantum algebra.2004-09-07Paper
Characters of the Positive Energy UIRs of D=4 Conformal Supersymmetry2004-06-18Paper
Positive energy unitary irreducible representations of D $equal$ 6 conformal supersymmetry2004-06-09Paper
Quantum mechanics with difference operators2004-05-18Paper
Positive Energy Unitary Irreducible Representations of the Superalgebras osp(1|2n,R)2004-02-05Paper
Spectral Decomposition and Baxterization of Exotic Bialgebras and Associated Noncommutative Geometries2003-12-15Paper
Revisiting the Quantum Group Symmetry of Diatomic Molecules2003-12-12Paper
https://portal.mardi4nfdi.de/entity/Q47835382003-02-04Paper
https://portal.mardi4nfdi.de/entity/Q27154412002-08-20Paper
https://portal.mardi4nfdi.de/entity/Q27600392002-08-05Paper
\(q\)-plane wave solutions of \(q\)-deformed equations with quantum conformal symmetry2001-12-17Paper
Duality for exotic bialgebras2001-09-04Paper
https://portal.mardi4nfdi.de/entity/Q27377142001-08-30Paper
Normalized Uq(sl(3)) Gel’fand–(Weyl)–Zetlin basis and new summation formulas for q-hypergeometric functions2001-08-30Paper
https://portal.mardi4nfdi.de/entity/Q43433592001-08-08Paper
Irregular Uq (sl(3)) representations at roots of unity via Gel’fand–(Weyl)–Zetlin basis2001-08-06Paper
Quantum groupUq(D) singular vectors in the Poincaré-Birkhoff-Witt basis2001-05-17Paper
https://portal.mardi4nfdi.de/entity/Q27110862001-05-02Paper
https://portal.mardi4nfdi.de/entity/Q27110912001-05-02Paper
https://portal.mardi4nfdi.de/entity/Q27089942001-04-04Paper
Quantum group \(U_q(A_\ell)\) singular vectors in Poincaré-Birkhoff-Witt basis2001-01-26Paper
https://portal.mardi4nfdi.de/entity/Q45131672000-11-07Paper
New generalized Verma modules and multilinear intertwining differential operators2000-09-06Paper
\(q\)-conformally covariant \(q\)-Minkowski space-time and invariant equations2000-08-14Paper
https://portal.mardi4nfdi.de/entity/Q44947792000-08-08Paper
https://portal.mardi4nfdi.de/entity/Q44948172000-08-08Paper
Intertwining operator realization of the AdS/CFT correspondence2000-07-12Paper
https://portal.mardi4nfdi.de/entity/Q44867692000-06-29Paper
Induced representations of the multiparameter Hopf Superalgebras Uuq(gl(m/n)) and Uuq(sl(m/n))2000-04-27Paper
Positive energy representations of the conformal quantum algebra2000-03-14Paper
Representations of the generalized Lie algebra1999-12-06Paper
Induced representations of with subrepresentations of integer spin only1999-12-06Paper
Duality for multiparametric quantum1999-12-06Paper
Quantization of kinematics and dynamics on with difference operators and a relatedq-deformation of the Witt algebra1999-11-21Paper
https://portal.mardi4nfdi.de/entity/Q42678981999-10-25Paper
DUALITY FOR MULTIPARAMETER QUANTUM DEFORMATION OF THE SUPERGROUP GL(m/n)1999-09-28Paper
https://portal.mardi4nfdi.de/entity/Q42335461999-08-23Paper
https://portal.mardi4nfdi.de/entity/Q42335491999-04-22Paper
\(q\)-difference intertwining operators and \(q\)-conformal invariant equations1999-02-04Paper
Aq-Schrödinger algebra, its lowest-weight representations and generalizedq-deformed heat/Schrödinger equations1998-12-02Paper
https://portal.mardi4nfdi.de/entity/Q38379421998-09-24Paper
https://portal.mardi4nfdi.de/entity/Q48750421998-09-20Paper
https://portal.mardi4nfdi.de/entity/Q43944701998-06-11Paper
Lowest weight representations of the Schrödinger algebra and generalized heat/Schrödinger equations1998-04-01Paper
Polynomial realization of the Uq(sl(3)) Gel’fand–(Weyl)–Zetlin basis1998-03-02Paper
Subsingular vectors and conditionally invariant (q-deformed) equations1998-02-11Paper
https://portal.mardi4nfdi.de/entity/Q48770271997-01-09Paper
The massless representations of the conformal quantum algebra1996-03-07Paper
q-difference intertwining operators for Uq(sl(n)): general setting and the case n=31996-03-07Paper
Duality for multiparametric quantum GL(n)1995-10-08Paper
Representation theory approach to the polynomial solutions of q-difference equations: Uq(sl(3)) and beyond1995-04-05Paper
New \(q\)-Minkowski space-time and \(q\)-Maxwell equations hierarchy from \(q\)-conformal invariance1995-01-08Paper
https://portal.mardi4nfdi.de/entity/Q42418031995-01-01Paper
A REMARKABLE REPRESENTATION OF THE SO(3, 2) KAC-MOODY ALGEBRA1994-12-05Paper
Duality for a Lorentz quantum group1994-10-04Paper
q-difference intertwining operators for a Lorentz quantum algebra1994-08-08Paper
Three lectures on quantum groups: Representations, duality, real forms1994-05-15Paper
https://portal.mardi4nfdi.de/entity/Q42737211994-01-06Paper
Canonical q-deformations of noncompact Lie (super-)algebras1993-12-05Paper
Finite-dimensional singletons of the quantum anti de Sitter algebra1993-10-14Paper
Duality for the matrix quantum group GLp,q(2,C)1993-04-01Paper
https://portal.mardi4nfdi.de/entity/Q40295731993-03-28Paper
Singular vectors of representations of quantum groups1992-09-27Paper
Singular vectors of quantum group representations for straight Lie algebra roots1992-06-27Paper
https://portal.mardi4nfdi.de/entity/Q39737811992-06-26Paper
SO(2,C) invariant ring structure of BRST cohomology and singular vectors in 2D gravity with c < 1 matter1992-01-29Paper
https://portal.mardi4nfdi.de/entity/Q33490671990-01-01Paper
Modular Invariants for Theta‐Functions with Characteristics and the Twisted N = 2 Superconformal and SU(2) Kac‐Moody Algebras1990-01-01Paper
New Weyl groups for \(A_ 1^{(1)}\) and characters of singular highest weight modules1989-01-01Paper
A Weyl group for the Virasoro and \(N=1\) super-Virasoro algebras1989-01-01Paper
Canonical construction of differential operators intertwining representations of real semisimple Lie groups1988-01-01Paper
On the relevance of some constructions of highest weight modules over (super-) Kac-Moody algebras (In connection with a paper by Wakimoto)1987-01-01Paper
https://portal.mardi4nfdi.de/entity/Q34972331987-01-01Paper
https://portal.mardi4nfdi.de/entity/Q37850111987-01-01Paper
https://portal.mardi4nfdi.de/entity/Q37850121987-01-01Paper
Multiplet classification of the indecomposable highest weight modules over the Neveu-Schwarz and Ramond superalgebras1986-01-01Paper
Structural analysis and elementary representations of SL(4, R) and GL(4, R) and their covering groups1986-01-01Paper
Multiplet classification of the reducible elementary representations of real semisimple Lie groups: The \(SO_ e(p,q)\) example1985-01-01Paper
On the group-theoretical approach to extended conformal supersymmetry: classification of multiplets1985-01-01Paper
Elementary representations and intertwining operators for SU(2, 2). I1985-01-01Paper
Stiefel-Skyrme-Higgs models, their classical static solutions and Yang- Mills-Higgs monopoles1982-01-01Paper
Elementary representations and intertwining operators for the group SU*(4)1978-01-01Paper
Harmonic analysis on the \(n\)-dimensional Lorentz group and its application to conformal quantum field theory1977-01-01Paper
On the Clebsch-Gordan expansion for the Lorentz group in \(n\) dimensions1976-01-01Paper

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