Cohomological Tensor Functors on Representations of the General Linear Supergroup
| Title | Cohomological Tensor Functors on Representations of the General Linear Supergroup PDF eBook |
| Author | Thorsten Heidersdorf |
| Publisher | American Mathematical Soc. |
| Total Pages | 106 |
| Release | 2021-07-21 |
| Genre | Education |
| ISBN | 1470447142 |
We define and study cohomological tensor functors from the category Tn of finite-dimensional representations of the supergroup Gl(n|n) into Tn−r for 0 < r ≤ n. In the case DS : Tn → Tn−1 we prove a formula DS(L) = ΠniLi for the image of an arbitrary irreducible representation. In particular DS(L) is semisimple and multiplicity free. We derive a few applications of this theorem such as the degeneration of certain spectral sequences and a formula for the modified superdimension of an irreducible representation.
Cohomological Tensor Functors on Representations of the General Linear Supergroup
| Title | Cohomological Tensor Functors on Representations of the General Linear Supergroup PDF eBook |
| Author | Thorsten Heidersdorf |
| Publisher | |
| Total Pages | 118 |
| Release | 2021 |
| Genre | Electronic books |
| ISBN | 9781470465285 |
Perspectives in Lie Theory
| Title | Perspectives in Lie Theory PDF eBook |
| Author | Filippo Callegaro |
| Publisher | Springer |
| Total Pages | 461 |
| Release | 2017-12-07 |
| Genre | Mathematics |
| ISBN | 3319589717 |
Lie theory is a mathematical framework for encoding the concept of symmetries of a problem, and was the central theme of an INdAM intensive research period at the Centro de Giorgi in Pisa, Italy, in the academic year 2014-2015. This book gathers the key outcomes of this period, addressing topics such as: structure and representation theory of vertex algebras, Lie algebras and superalgebras, as well as hyperplane arrangements with different approaches, ranging from geometry and topology to combinatorics.
Cell Complexes, Poset Topology and the Representation Theory of Algebras Arising in Algebraic Combinatorics and Discrete Geometry
| Title | Cell Complexes, Poset Topology and the Representation Theory of Algebras Arising in Algebraic Combinatorics and Discrete Geometry PDF eBook |
| Author | Stuart Margolis |
| Publisher | American Mathematical Society |
| Total Pages | 135 |
| Release | 2021-12-30 |
| Genre | Mathematics |
| ISBN | 1470450429 |
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Spectral Expansions of Non-Self-Adjoint Generalized Laguerre Semigroups
| Title | Spectral Expansions of Non-Self-Adjoint Generalized Laguerre Semigroups PDF eBook |
| Author | Pierre Patie |
| Publisher | American Mathematical Society |
| Total Pages | 182 |
| Release | 2021-11-16 |
| Genre | Mathematics |
| ISBN | 1470449366 |
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Instability, Index Theorem, and Exponential Trichotomy for Linear Hamiltonian PDEs
| Title | Instability, Index Theorem, and Exponential Trichotomy for Linear Hamiltonian PDEs PDF eBook |
| Author | Zhiwu Lin |
| Publisher | American Mathematical Society |
| Total Pages | 136 |
| Release | 2022-02-02 |
| Genre | Mathematics |
| ISBN | 1470450445 |
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Cubic Action of a Rank One Group
| Title | Cubic Action of a Rank One Group PDF eBook |
| Author | Matthias Grüninger |
| Publisher | American Mathematical Society |
| Total Pages | 154 |
| Release | 2022-04-08 |
| Genre | Mathematics |
| ISBN | 1470451344 |
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