Author: James LepowskyPublisher:
ISBN:
Category : Lie algebras
Languages : en
Pages : 84
Book Description
Structure of the Standard Modules for the Affine Lie Algebra A1 Superscript (1)
Author: James LepowskyPublisher:
ISBN:
Category : Lie algebras
Languages : en
Pages : 84
Book Description
Structure of the Standard Modules for the Affine Lie Algebra A1 Superscript (1)
Author: James LepowskyPublisher: American Mathematical Soc.
ISBN: 9780821853962
Category : Mathematics
Languages : en
Pages : 98
Book Description
The affine Kac-Moody algebra $A_1^{(1)}$ has recently served as a source of new ideas in the representation theory of infinite-dimensional affine Lie algebras. In particular, several years ago it was discovered that $A_1^{(1)}$ and then a general class of affine Lie algebras could be constructed using operators related to the vertex operators of the physicists' string model. This book develops the calculus of vertex operators to solve the problem of constructing all the standard $A_1^{(1)}$-modules in the homogeneous realization. Aimed primarily at researchers in and students of Lie theory, the book's detailed and concrete exposition makes it accessible and illuminating even to relative newcomers to the field.
Structure of the Standard Modules for the Affine Lie Algebra A Subscript 1 Superscript(1).
Author: Mathematical Sciences Research Institute (Berkeley, Calif.).Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Structure of the Level One Standard Modules for the Affine Lie Algebras B[subscript L](1), F4(1), and G2(1)
, F4(1), and G2(1) PDF](https://books.google.com/books/content/images/frontcover/_33kwAEACAAJ?fife=w80-h100)
Author: Frank RimlingerPublisher:
ISBN: 9780821824207
Category : Clifford algebras
Languages : en
Pages : 54
Book Description
Structure of the Standard Modules for the Affine Lie Algebra $A^{(1)}_1$
Author: James LepowskyPublisher: American Mathematical Soc.
ISBN: 0821850482
Category : Mathematics
Languages : en
Pages : 96
Book Description
The affine Kac-Moody algebra $A_1 DEGREES{(1)}$ has served as a source of ideas in the representation theory of infinite-dimensional affine Lie algebras. This book develops the calculus of vertex operators to solve the problem of constructing all the standard $A_1 DEGREES{(1)}$-modules in the homogeneou
Factorizations of B[superscript N] [plus Or Minus Symbol] 1, B
![Factorizations of B[superscript N] [plus Or Minus Symbol] 1, B PDF](https://books.google.com/books/content/images/frontcover/zVjVAwAAQBAJ?fife=w80-h100)
Author: John BrillhartPublisher: American Mathematical Soc.
ISBN: 0821850784
Category : Mathematics
Languages : en
Pages : 346
Book Description
On the Structure of Principal Subspaces of Standard Modules for Affine Lie Algebras of Type A
Author: Christopher Michael SadowskiPublisher:
ISBN:
Category : Lie algebras
Languages : en
Pages : 95
Book Description
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.
On Imaginary Verma Modules Over the Affine Lie Algebra A1(1)
Author: Vjačeslav M. FutornyPublisher:
ISBN: 9788255307389
Category :
Languages : en
Pages : 26
Book Description
Langlands Correspondence for Loop Groups
Author: Edward FrenkelPublisher: Cambridge University Press
ISBN: 0521854431
Category : Mathematics
Languages : en
Pages : 5
Book Description
The first account of local geometric Langlands Correspondence, a new area of mathematical physics developed by the author.
Infinite Dimensional Lie Algebras
Author: Victor G. KacPublisher: Springer Science & Business Media
ISBN: 1475713827
Category : Mathematics
Languages : en
Pages : 267
Book Description
