Cohomological Tensor Functors On Representations Of The General Linear Supergroup
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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.
Author | : Thorsten Heidersdorf |
Publisher | : |
Total Pages | : 118 |
Release | : 2021 |
Genre | : Electronic books |
ISBN | : 9781470465285 |
Author | : Filippo Callegaro |
Publisher | : Springer |
Total Pages | : 465 |
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.
Author | : Stuart Margolis |
Publisher | : American Mathematical Society |
Total Pages | : 135 |
Release | : 2021-12-30 |
Genre | : Mathematics |
ISBN | : 1470450429 |
Author | : Pierre Patie |
Publisher | : American Mathematical Society |
Total Pages | : 182 |
Release | : 2021-11-16 |
Genre | : Mathematics |
ISBN | : 1470449366 |
Author | : Zhiwu Lin |
Publisher | : American Mathematical Society |
Total Pages | : 136 |
Release | : 2022-02-02 |
Genre | : Mathematics |
ISBN | : 1470450445 |
Author | : Matthias Grüninger |
Publisher | : American Mathematical Society |
Total Pages | : 154 |
Release | : 2022-04-08 |
Genre | : Mathematics |
ISBN | : 1470451344 |
Author | : William Gignac |
Publisher | : American Mathematical Society |
Total Pages | : 100 |
Release | : 2021-11-16 |
Genre | : Mathematics |
ISBN | : 1470449587 |
Author | : Gijs Heuts |
Publisher | : American Mathematical Society |
Total Pages | : 108 |
Release | : 2021-11-16 |
Genre | : Mathematics |
ISBN | : 1470448939 |
Author | : Yann Palu |
Publisher | : American Mathematical Society |
Total Pages | : 95 |
Release | : 2021-12-30 |
Genre | : Mathematics |
ISBN | : 1470450046 |