Cohomological Tensor Functors on Representations of the General Linear Supergroup PDF Download
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Author: Thorsten Heidersdorf
Publisher: American Mathematical Soc.
ISBN: 1470447142
Category : Education
Languages : en
Pages : 106
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Book Description
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: American Mathematical Soc.
ISBN: 1470447142
Category : Education
Languages : en
Pages : 106
Get Book Here
Book Description
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:
ISBN: 9781470465285
Category : Electronic books
Languages : en
Pages : 118
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Book Description
Author: Filippo Callegaro
Publisher: Springer
ISBN: 3319589717
Category : Mathematics
Languages : en
Pages : 465
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Book Description
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
ISBN: 1470450429
Category : Mathematics
Languages : en
Pages : 135
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Author: Pierre Patie
Publisher: American Mathematical Society
ISBN: 1470449366
Category : Mathematics
Languages : en
Pages : 182
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Author: Zhiwu Lin
Publisher: American Mathematical Society
ISBN: 1470450445
Category : Mathematics
Languages : en
Pages : 136
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Author: Matthias Grüninger
Publisher: American Mathematical Society
ISBN: 1470451344
Category : Mathematics
Languages : en
Pages : 154
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Author: William Gignac
Publisher: American Mathematical Society
ISBN: 1470449587
Category : Mathematics
Languages : en
Pages : 100
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Author: Gijs Heuts
Publisher: American Mathematical Society
ISBN: 1470448939
Category : Mathematics
Languages : en
Pages : 108
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Author: Yann Palu
Publisher: American Mathematical Society
ISBN: 1470450046
Category : Mathematics
Languages : en
Pages : 95
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