On the second fundamental theorem of invariant theory for the orthosymplectic supergroup
DOI10.1016/j.jalgebra.2017.12.017zbMath1441.20029arXiv1407.1058OpenAlexW2949737949WikidataQ126627056 ScholiaQ126627056MaRDI QIDQ1703227
Yang Zhang, Ruibin Zhang, Gustav Isaac Lehrer
Publication date: 1 March 2018
Published in: Journal of Algebra, Nagoya Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1407.1058
invariant theorysecond fundamental theoremorthosymplectic supergroupBrauer categoryBrauer diagramsorthosymplectic Lie supergroup
Hecke algebras and their representations (20C08) Representation theory for linear algebraic groups (20G05) Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Vector and tensor algebra, theory of invariants (15A72) Simple, semisimple, reductive (super)algebras (17B20) Brauer groups (algebraic aspects) (16K50)
Related Items (6)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Schur-Weyl duality for the Brauer algebra and the ortho-symplectic Lie superalgebra
- On a theorem of Lehrer and Zhang.
- The first fundamental theorem of invariant theory for the orthosymplectic supergroup
- A quantum analogue of the first fundamental theorem of classical invariant theory
- The Brauer category and invariant theory
- Strongly multiplicity free modules for Lie algebras and quantum groups
- Specht filtrations and tensor spaces for the Brauer algebra.
- The theory of Lie superalgebras. An introduction
- Braided tensor categories
- Analogue of the classical invariant theory for Lie superalgebras
- The representation theory of affine Temperley-Lieb algebras
- The first fundamental theorem of invariant theory for the orthosymplectic super group
- On the second fundamental theorem of invariant theory for the orthosymplectic supergroup
- Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
- The general linear supergroup and its Hopf superalgebra of regular functions.
- Cellular algebras
- The second fundamental theorem of invariant theory for the orthogonal group.
- Invariant theory for matrices over the Grassmann algebra.
- Products of Young symmetrizers and ideals in the generic tensor algebra
- Mathematical foundations of supersymmetry
- Invariants of the orthosymplectic Lie superalgebra and super Pfaffians
- On the heat equation and the index theorem
- Lie groups. An approach through invariants and representations
- A Temperley–Lieb Analogue for the BMW Algebra
- Representations of supergroups
- The blocks of the Brauer algebra in characteristic zero
- Schur-Weyl duality for orthogonal groups
- Diagram and superfield techniques in the classical superalgebras
- Diagram algebras, Hecke algebras and decomposition numbers at roots of unity
- Koszul Gradings on Brauer Algebras
- Lie superalgebras
- An analog of the classical invariant theory for Lie superalgebras. I, II
This page was built for publication: On the second fundamental theorem of invariant theory for the orthosymplectic supergroup