Structure Of The Standard Modules For The Affine Lie Algebra A1 Superscript 1 PDF Download
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Author | : James Lepowsky |
Publisher | : |
Total Pages | : 84 |
Release | : 1985 |
Genre | : Lie algebras |
ISBN | : |
Download Structure of the Standard Modules for the Affine Lie Algebra A1 Superscript (1) Book in PDF, ePub and Kindle
Author | : James Lepowsky |
Publisher | : American Mathematical Soc. |
Total Pages | : 98 |
Release | : 1985-12-31 |
Genre | : Mathematics |
ISBN | : 9780821853962 |
Download Structure of the Standard Modules for the Affine Lie Algebra A1 Superscript (1) Book in PDF, ePub and Kindle
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.
Author | : Mathematical Sciences Research Institute (Berkeley, Calif.). |
Publisher | : |
Total Pages | : |
Release | : 1985 |
Genre | : |
ISBN | : |
Download Structure of the Standard Modules for the Affine Lie Algebra A Subscript 1 Superscript(1). Book in PDF, ePub and Kindle
Author | : Frank Rimlinger |
Publisher | : |
Total Pages | : 54 |
Release | : 1987 |
Genre | : Clifford algebras |
ISBN | : 9780821824207 |
Download Structure of the Level One Standard Modules for the Affine Lie Algebras B[subscript L](1), F4(1), and G2(1) Book in PDF, ePub and Kindle
Author | : James Lepowsky |
Publisher | : American Mathematical Soc. |
Total Pages | : 96 |
Release | : 1985 |
Genre | : Mathematics |
ISBN | : 0821850482 |
Download Structure of the Standard Modules for the Affine Lie Algebra $A^{(1)}_1$ Book in PDF, ePub and Kindle
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
Author | : John Brillhart |
Publisher | : American Mathematical Soc. |
Total Pages | : 346 |
Release | : 1988 |
Genre | : Mathematics |
ISBN | : 0821850784 |
Download Factorizations of B[superscript N] [plus Or Minus Symbol] 1, B Book in PDF, ePub and Kindle
Author | : Christopher Michael Sadowski |
Publisher | : |
Total Pages | : 95 |
Release | : 2014 |
Genre | : Lie algebras |
ISBN | : |
Download On the Structure of Principal Subspaces of Standard Modules for Affine Lie Algebras of Type A Book in PDF, ePub and Kindle
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.
Author | : Vjačeslav M. Futorny |
Publisher | : |
Total Pages | : 26 |
Release | : 1991 |
Genre | : |
ISBN | : 9788255307389 |
Download On Imaginary Verma Modules Over the Affine Lie Algebra A1(1) Book in PDF, ePub and Kindle
Author | : Edward Frenkel |
Publisher | : Cambridge University Press |
Total Pages | : 5 |
Release | : 2007-06-28 |
Genre | : Mathematics |
ISBN | : 0521854431 |
Download Langlands Correspondence for Loop Groups Book in PDF, ePub and Kindle
The first account of local geometric Langlands Correspondence, a new area of mathematical physics developed by the author.
Author | : R.R. Bowker Company |
Publisher | : New York : R.R. Bowker |
Total Pages | : 1390 |
Release | : 1982 |
Genre | : Language Arts & Disciplines |
ISBN | : |
Download Books in Series, 1876-1949 Book in PDF, ePub and Kindle