Abstract
In this paper, we introduce super Weyl groups, their distinguished elements and properties for basic classical Lie superalgebras. Then we formulate Jantzen filtration for baby Verma modules in graded restricted module categories of basic classical Lie superalgebras over an algebraically closed field of odd characteristic, and obtain a sum formula in the corresponding Grothendieck groups. Consequently, we formulate a strong linkage principle for such categories.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11671138
Funding statement: This work is partially supported by the NSFC (grant no. 11671138) and by the Shanghai Key Laboratory of PMMP (grant no. 13dz2260400).
Acknowledgements
The second-named author thanks Shun-Jen Cheng and Changjie Cheng very much for helpful discussions, and he thanks Weiqiang Wang for his helpful comments.
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© 2018 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- The Mackey problem for free locally convex spaces
- Restricted averaging operators to cones over finite fields
- Asymptotic expansion of holonomy
- Compactness criteria for real algebraic sets and Newton polyhedra
- Unit-graphs and special unit-digraphs on matrix rings
- ϕ-amenability and character amenability of Fréchet algebras
- Dirichlet series of two variables, real analytic Jacobi–Eisenstein series of matrix index, and Katok–Sarnak type result
- Idempotence of finitely generated commutative semifields
- N-Lusin property in metric measure spaces: A new sufficient condition
- Group schemes and local densities of ramified hermitian lattices in residue characteristic 2. Part II
- Homogeneous Finsler spaces and the flag-wise positively curved condition
- Index of Grassmann manifolds and orthogonal shadows
- Jantzen filtration and strong linkage principle for modular Lie superalgebras
- On the maximum conjecture
Artikel in diesem Heft
- Frontmatter
- The Mackey problem for free locally convex spaces
- Restricted averaging operators to cones over finite fields
- Asymptotic expansion of holonomy
- Compactness criteria for real algebraic sets and Newton polyhedra
- Unit-graphs and special unit-digraphs on matrix rings
- ϕ-amenability and character amenability of Fréchet algebras
- Dirichlet series of two variables, real analytic Jacobi–Eisenstein series of matrix index, and Katok–Sarnak type result
- Idempotence of finitely generated commutative semifields
- N-Lusin property in metric measure spaces: A new sufficient condition
- Group schemes and local densities of ramified hermitian lattices in residue characteristic 2. Part II
- Homogeneous Finsler spaces and the flag-wise positively curved condition
- Index of Grassmann manifolds and orthogonal shadows
- Jantzen filtration and strong linkage principle for modular Lie superalgebras
- On the maximum conjecture