Structure Of The Level One Standard Modules For The Affine Lie Algebras Blp 1 B Fb4p 1 B And Gb2p 1 B S

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Structure Of The Level One Standard Modules For The Affine Lie Algebras B Subscript L 1 F4 1 And G2 1

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Author : Frank Rimlinger
language : en
Publisher:
Release Date : 1987

Structure Of The Level One Standard Modules For The Affine Lie Algebras B Subscript L 1 F4 1 And G2 1 written by Frank Rimlinger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Clifford algebras categories.

Structure Of The Level One Standard Modules For The Affine Lie Algebras

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Author : Marly Mandia
language : en
Publisher:
Release Date : 1987

Structure Of The Level One Standard Modules For The Affine Lie Algebras written by Marly Mandia and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.

On The Structure Of Principal Subspaces Of Standard Modules For Affine Lie Algebras Of Type A

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Author : Christopher Michael Sadowski
language : en
Publisher:
Release Date : 2014

On The Structure Of Principal Subspaces Of Standard Modules For Affine Lie Algebras Of Type A written by Christopher Michael Sadowski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Lie algebras categories.

Using the theory of vertex operator algebras and intertwining operators, we obtain presentations for the principal subspaces of all the standard $widehat{goth{sl}(3)}$-modules. Certain of these presentations had been conjectured and used in work of Calinescu to construct exact sequences leading to the graded dimensions of certain principal subspaces. We prove the conjecture in its full generality for all standard $widehat{goth{sl}(3)}$-modules. We then provide a conjecture for the case of $widehat{goth{sl}(n)}$, $n ge 4$. In addition, we construct completions of certain universal enveloping algebras and provide a natural setting for families of defining relations for the principal subspaces of standard modules for untwisted affine Lie algebras. We also use the theory of vertex operator algebras and intertwining operators, along with conjecturally assumed presentations for certain principal subspaces, to construct exact sequences among principal subspaces of certain standard $widehat{mathfrak{sl}(n)}$-modules, $n ge 3$. As a consequence, we obtain the multigraded dimensions of the principal subspaces $W(k_1Lambda_1 + k_2 Lambda_2)$ and $W(k_{n-2}Lambda_{n-2} + k_{n-1} Lambda_{n-1})$. This generalizes earlier work by Calinescu on principal subspaces of standard $widehat{mathfrak{sl}(3)}$-modules, where similar assumptions were made.

Verma Bases Of Modules For Simple Lie Algebras

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Author : Mark Edwin Hall
language : en
Publisher:
Release Date : 1987

Verma Bases Of Modules For Simple Lie Algebras written by Mark Edwin Hall and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.

Dimensions Of Demazure Modules For Rank 2 Affine Lie Algebras

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Author : Yasmine B. Sanderson
language : en
Publisher:
Release Date : 1994

Dimensions Of Demazure Modules For Rank 2 Affine Lie Algebras written by Yasmine B. Sanderson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.

Dimensions Od Demazure Modules For Rank 2 Affine Lie Algebras

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Author : Yasmine B.. Sanderson
language : en
Publisher:
Release Date : 1994

Dimensions Od Demazure Modules For Rank 2 Affine Lie Algebras written by Yasmine B.. Sanderson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.

Rational Constructions Of Modules For Simple Lie Algebras

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Author : George B. Seligman
language : en
Publisher:
Release Date : 1981

Rational Constructions Of Modules For Simple Lie Algebras written by George B. Seligman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Lie algebras categories.

Modules And Algebras

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Author : Robert Wisbauer
language : en
Publisher: CRC Press
Release Date : 1996-05-15

Modules And Algebras written by Robert Wisbauer and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-05-15 with Mathematics categories.

Module theory over commutative asociative rings is usually extended to noncommutative associative rings by introducing the category of left (or right) modules. An alternative to this procedure is suggested by considering bimodules. A refined module theory for associative rings is used to investigate the bimodule structure of arbitary algebras and group actions on these algebras.

Studies In Modules Over Affine Lie Algebras

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Author : Jacob Greenstein
language : en
Publisher:
Release Date : 2001

Studies In Modules Over Affine Lie Algebras written by Jacob Greenstein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.

Integral Bases For Affine Lie Algebras And Their Universal Enveloping Algebras

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Author : David Mitzman
language : en
Publisher:
Release Date : 1985

Integral Bases For Affine Lie Algebras And Their Universal Enveloping Algebras written by David Mitzman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Lie algebras categories.