Arkady Onishchik: on his life and work on supersymmetry
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Publication:6588447
DOI10.46298/cm.9337zbMATH Open1546.01113MaRDI QIDQ6588447
Publication date: 15 August 2024
Published in: Communications in Mathematics (Search for Journal in Brave)
Biographies, obituaries, personalia, bibliographies (01A70) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Analysis on supermanifolds or graded manifolds (58C50) Complex supergeometry (32C11)
Cites Work
- Cominuscule parabolic subalgebras of simple finite dimensional Lie superalgebras
- Minkowski superspaces and superstrings as almost real-complex supermanifolds
- On complex Lie supergroups and split homogeneous supermanifolds
- The roots of exceptional modular Lie superalgebras with Cartan matrix
- Cartan subalgebras of root-reductive Lie algebras
- Classification of finite dimensional modular Lie superalgebras with indecomposable Cartan matrix
- The superspace of geometrodynamics
- Invariants of analytic \({\mathbb{Z}}_ 2\)-manifolds
- Selected problems of supermanifold theory
- Classification of bilinear invariants of operators on tensor fields
- Deformation of complex superspaces and coherent sheaves on them
- Metasymmetry and Volichenko algebras
- A generalization of Wilson's theorem on Cartan subalgebras of simple Lie algebras
- Homogeneous supermanifolds associated with the complex projective line
- Lectures on real semisimple Lie algebras and their representations
- Vector fields on \(\mathfrak{osp}_{2m | 2n}(\mathbb{C})\)- and \(\pi \mathfrak{sp}_n(\mathbb{C})\)-flag supermanifolds
- Graded manifolds of type \(\Delta\) and \(n\)-fold vector bundles
- On representations of the Lie superalgebra \(p\)(\(n\))
- Maximal solvable subalgebras of Lie superalgebras \({\mathfrak {gl}}(m| n)\) and \({\mathfrak {sl}}(m| n)\)
- Lie groups and Lie algebras II. Transl. from the Russian by John Danskin
- Five exceptional simple Lie superalgebras of vector fields
- Nondegenerate invariant symmetric bilinear forms on simple Lie superalgebras in characteristic 2
- Simple vectorial Lie algebras in characteristic 2 and their superizations
- Superstring perturbation theory via super Riemann surfaces: an overview
- Even-homogeneous supermanifolds on the complex projective line
- Homogeneous supermanifolds over Grassmannians
- Locally free sheaves on complex supermanifolds
- Spin actions in Euclidean and Hermitian Clifford analysis in superspace
- Parabolic subalgebras and gradings of reductive Lie superalgebras
- The Structure of Supermanifolds
- The Dzhumadildaev brackets: a hidden supersymmetry of commutators and the Amitsur-Levitzki-type identities
- Volichenko Algebras as Algebras of Differential Operators
- Simple singularities of functions on supermanifolds.
- Classification of gradings of simple Lie superalgebras of the series $ A$ by the root systems of their classical simple subalgebras
- Invariant supersymmetric multilinear forms and the Casimir elements of P-type Lie superalgebras
- Simple supersymmetries
- Lie algebroids and homological vector fields
- GENERIC IRREDUCIBLE REPRESENTATIONS OF FINITE-DIMENSIONAL LIE SUPERALGEBRAS
- Homogeneous irreducible supermanifolds and graded Lie superalgebras
- Maximal subalgebras of the classical linear Lie superalgebras
- On Holomorphic Graded Manifolds
- Arkadii L'vovich Onishchik (on his 70th birthday)
- Felix Alexandrovich Berezin and His Work
- Classical Lie Algebras at Infinity
- Arkadii L’vovich Onishchik
- The Classification of Almost Affine (Hyperbolic) Lie Superalgebras
- Infinite-Dimensional and Colored Supermanifolds
- On Cartan subalgebras
- Lie superalgebras
- Homogeneous non-split superstrings of odd dimension 4
- Supermanifolds corresponding to the trivial vector bundle over torus
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