A. P. Isaev

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Person:175326

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zbMath Open isaev.aleksei-petrovichMaRDI QIDQ175326

List of research outcomes

PublicationDate of PublicationType
Lagrangian formulation for free \(6D\) infinite spin field2023-11-14Paper
Generalization of the Bargmann-Wigner construction for infinite-spin fields2023-08-07Paper
Ladder and zig-zag Feynman diagrams, operator formalism and conformal triangles2023-07-25Paper
D-dimensional spin projection operators for arbitrary type of symmetry via Brauer algebra idempotents2023-01-23Paper
Flat connection on four-dimensional lattice, related matrix difference equations and their solutions2022-12-30Paper
Split Casimir operator for simple Lie algebras in the cube of $\mathsf{ad}$-representation and Vogel parameters2022-12-30Paper
Lectures on Quantum Groups and Yang-Baxter Equations2022-06-17Paper
Conformal triangles and zig-zag diagrams2022-06-13Paper
On the off-shell superfield Lagrangian formulation of \(4D\), \(\mathcal{N} = 1\) supersymmetric infinite spin theory2022-05-23Paper
Modelling the Spectral Characteristics of the Circulatory System of Athletes-Skiers2022-03-15Paper
The split Casimir operator and solutions of the Yang-Baxter equation for the $osp(M|N)$ and $s\ell(M|N)$ Lie superalgebras, higher Casimir operators, and the Vogel parameters2022-01-16Paper
Twistor formulation of massless \(6D\) infinite spin fields2021-12-07Paper
Yang-Baxter \(R\)-operators for \(osp\) superalgebras2021-10-06Paper
Massless finite and infinite spin representations of Poincaré group in six dimensions2021-09-29Paper
Towards Lagrangian construction for infinite half-integer spin field2021-09-21Paper
Split Casimir operator for simple Lie algebras, solutions of Yang–Baxter equations, and Vogel parameters2021-09-06Paper
Projectors on invariant subspaces of representations \(\text{ad}^{\otimes 2}\) of Lie algebras \(so(N)\) and \(sp(2r)\) and Vogel parameterization2021-06-29Paper
Split Casimir operator and universal formulation of the simple Lie algebras2021-06-08Paper
Projectors on invariant subspaces of representations $\operatorname{ad}^{\otimes 2}$ of Lie algebras $so(N)$ and $sp(2r)$ and Vogel parametrization2020-11-30Paper
Theory of Groups and Symmetries2020-11-27Paper
Massless infinite spin (super)particles and fields2020-08-18Paper
D-dimensional spin projection operators for arbitrary type of symmetry via Brauer algebra idempotents2020-04-13Paper
Theory of Groups and Symmetries2020-04-06Paper
Twistorial and space-time descriptions of massless infinite spin (super)particles and fields2020-02-13Paper
Polarization tensors for massive arbitrary-spin particles and the Behrends-Fronsdal projection operator2019-07-23Paper
SOS-representation for the \(\operatorname{SL}(2,\mathbb{C})\)-invariant \(R\)-operator and Feynman diagrams2019-07-22Paper
Orthogonal polynomials, 6J-symbols, and statistical weights of SOS models2019-07-22Paper
Behrends-Fronsdal spin projection operator in space-time with arbitrary dimension2019-03-20Paper
Unitary representations of the Wigner group \(\operatorname{ISL}(2, \mathbb{C})\) and a two-spinor description of massive particles with an arbitrary spin2018-10-11Paper
Three-forms, dualities and membranes in four-dimensional supergravity2018-09-14Paper
Two-spinor description of massive particles and relativistic spin projection operators2018-03-16Paper
Conformal algebra: R-matrix and star-triangle relation2016-08-12Paper
Bethe subalgebras in affine Birman–Murakami–Wenzl algebras and flat connections for q-KZ equations2016-08-10Paper
Orthogonal and symplectic Yangians and Yang-Baxter \(R\)-operators2016-03-08Paper
Spin Chain Models of Free Fermions2015-07-03Paper
Idempotents for Birman-Murakami-Wenzl algebras and reflection equation2015-01-14Paper
Remarks towards the spectrum of the Heisenberg spin chain type models2014-12-12Paper
HALF-QUANTUM LINEAR ALGEBRA2014-09-18Paper
Bethe subalgebras in Hecke algebra and Gaudin models2014-04-01Paper
The spinorialR-matrix2014-01-14Paper
A New Fusion Procedure for the Brauer Algebra and Evaluation Homomorphisms2012-08-31Paper
Fusion procedure for the Brauer algebra2011-07-18Paper
BRST operator for quantum Lie algebras: relation to the bar complex2010-01-21Paper
Jucys-Murphy elements for Birman-Murakami-Wenzl algebras2009-12-20Paper
Representations of A-type Hecke algebras2009-12-18Paper
Braids, shuffles and symmetrizers2009-12-01Paper
Spectral extension of the quantum group cotangent bundle2009-09-25Paper
Chain models on Hecke algebra for corner type representations.2009-06-18Paper
On the idempotents of Hecke algebras.2009-06-17Paper
Becchi-Rouet-Stora-Tyutin operators for W algebras2009-01-23Paper
BRST charges for finite nonlinear algebras2008-07-11Paper
Functional equations for transfer-matrix operators in open Hecke chain models2007-08-20Paper
On baxterized solutions of reflection equation and integrable chain models2007-05-16Paper
Open Hecke chains and free fermions2007-03-27Paper
https://portal.mardi4nfdi.de/entity/Q34091242006-11-08Paper
BRST OPERATOR FOR QUANTUM LIE ALGEBRAS: EXPLICIT FORMULA2006-02-07Paper
Quantization of triangular Lie bialgebras.2004-09-07Paper
Discretized Yang–Mills and Born–Infeld Actions on Finite Group Geometries2004-03-01Paper
Quantum matrix algebra for theSU(n) WZNW model2004-02-15Paper
BRST operator for quantum Lie algebras and differential calculus on quantum groups2004-01-04Paper
Quantum Lax operators and discrete \(2+1\)-dimensional integrable models2003-08-20Paper
Multi-loop Feynman integrals and conformal quantum mechanics2003-06-11Paper
On the Fedosov deformation quantization beyond the regular Poisson manifolds2002-11-03Paper
BRST and anti-BRST operators for quantum linear algebra \(U_q(\text{gl}(N))\)2002-06-19Paper
Paragrassmann Integral, Discrete Systems and Quantum Groups2002-02-27Paper
PARA-GRASSMANN EXTENSIONS OF THE VIRASORO ALGEBRA2002-02-26Paper
Diffusion algebras2001-12-05Paper
Tetrahedron Reflection Equations2001-08-01Paper
PARAGRASSMANN ANALYSIS AND QUANTUM GROUPS2001-07-31Paper
GAUGE MODELS OF FERMIONIC DISCRETE "STRINGS"2001-07-31Paper
https://portal.mardi4nfdi.de/entity/Q27110832001-05-02Paper
https://portal.mardi4nfdi.de/entity/Q27111622001-05-02Paper
Brane vacuum as chain of rotators2001-04-24Paper
On quantization of r-matrices for Belavin-Drinfeld Triples2000-10-19Paper
Standard Complex for Quantum Lie Algebras2000-10-06Paper
Hecke algebraic properties of dynamical R -matrices. Application to related quantum matrix algebras1999-11-21Paper
https://portal.mardi4nfdi.de/entity/Q43562401998-07-06Paper
Twisted Yang - Baxter equations for linear quantum (super)groups1998-06-11Paper
Interrelations between quantum groups and reflection equation (braided) algebras1997-12-17Paper
https://portal.mardi4nfdi.de/entity/Q43351511997-11-25Paper
Poincare-Birkhoff-Witt property for bicovariant differential algebras on simple quantum groups1997-05-28Paper
Covariant differential complexes on quantum linear groups1996-11-26Paper
https://portal.mardi4nfdi.de/entity/Q48728571996-04-16Paper
Quantum group covariant noncommutative geometry1995-07-04Paper
Paragrassmann differential calculus1994-07-13Paper
Harmonic oscillator realization of the canonical q-transformation1991-01-01Paper

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