Overview
Research Interests
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Lie theory
Lie groups, Lie algebras, quantum groups, and reflection groups. -
Combinatorial and geometric aspects of representation theory
Reflection arrangements, configuration spaces, and Milnor fibres. -
Supersymmetry
Lie superalgebras, Lie supergroups, and quantum supergroups.
Publications
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Journal Article: On the homology of the noncrossing partition lattice and the Milnor fibre
Zhang, Yang (2023). On the homology of the noncrossing partition lattice and the Milnor fibre. Advances in Mathematics, 415 108897, 108897. doi: 10.1016/j.aim.2023.108897
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Journal Article: The first and second fundamental theorems of invariant theory for the quantum general linear supergroup
Zhang, Yang (2020). The first and second fundamental theorems of invariant theory for the quantum general linear supergroup. Journal of Pure and Applied Algebra, 224 (11). doi: 10.1016/j.jpaa.2020.106411
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Journal Article: On the second fundamental theorem of invariant theory for the orthosymplectic supergroup
Zhang, Yang (2018). On the second fundamental theorem of invariant theory for the orthosymplectic supergroup. Journal of Algebra, 501, 394-434. doi: 10.1016/j.jalgebra.2017.12.017
Publications
Journal Article
-
On the homology of the noncrossing partition lattice and the Milnor fibre
Zhang, Yang (2023). On the homology of the noncrossing partition lattice and the Milnor fibre. Advances in Mathematics, 415 108897, 108897. doi: 10.1016/j.aim.2023.108897
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Zhang, Yang (2020). The first and second fundamental theorems of invariant theory for the quantum general linear supergroup. Journal of Pure and Applied Algebra, 224 (11). doi: 10.1016/j.jpaa.2020.106411
-
On the second fundamental theorem of invariant theory for the orthosymplectic supergroup
Zhang, Yang (2018). On the second fundamental theorem of invariant theory for the orthosymplectic supergroup. Journal of Algebra, 501, 394-434. doi: 10.1016/j.jalgebra.2017.12.017
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Yang, Hengyun and Zhang, Yang (2017). A quantum fermion realisation of the finite dimensional spinor representation of U-q(osp(1 vertical bar 2n)). Journal of Mathematical Physics, 58 (7) 071706, 1-14. doi: 10.1063/1.4991678
