Author: James Lepowsky
Publisher:
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 Lepowsky
Publisher:
ISBN:
Category : Lie algebras
Languages : en
Pages : 84
Book Description
Publisher:
ISBN:
Category : Lie algebras
Languages : en
Pages : 84
Book Description
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
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)
Author: Frank Rimlinger
Publisher:
ISBN: 9780821824207
Category : Clifford algebras
Languages : en
Pages : 54
Book Description
Publisher:
ISBN: 9780821824207
Category : Clifford algebras
Languages : en
Pages : 54
Book Description
On the Structure of Principal Subspaces of Standard Modules for Affine Lie Algebras of Type A
Author: Christopher Michael Sadowski
Publisher:
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.
Publisher:
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.
An Invitation to General Algebra and Universal Constructions
Author: George M. Bergman
Publisher: Springer
ISBN: 3319114786
Category : Mathematics
Languages : en
Pages : 574
Book Description
Rich in examples and intuitive discussions, this book presents General Algebra using the unifying viewpoint of categories and functors. Starting with a survey, in non-category-theoretic terms, of many familiar and not-so-familiar constructions in algebra (plus two from topology for perspective), the reader is guided to an understanding and appreciation of the general concepts and tools unifying these constructions. Topics include: set theory, lattices, category theory, the formulation of universal constructions in category-theoretic terms, varieties of algebras, and adjunctions. A large number of exercises, from the routine to the challenging, interspersed through the text, develop the reader's grasp of the material, exhibit applications of the general theory to diverse areas of algebra, and in some cases point to outstanding open questions. Graduate students and researchers wishing to gain fluency in important mathematical constructions will welcome this carefully motivated book.
Publisher: Springer
ISBN: 3319114786
Category : Mathematics
Languages : en
Pages : 574
Book Description
Rich in examples and intuitive discussions, this book presents General Algebra using the unifying viewpoint of categories and functors. Starting with a survey, in non-category-theoretic terms, of many familiar and not-so-familiar constructions in algebra (plus two from topology for perspective), the reader is guided to an understanding and appreciation of the general concepts and tools unifying these constructions. Topics include: set theory, lattices, category theory, the formulation of universal constructions in category-theoretic terms, varieties of algebras, and adjunctions. A large number of exercises, from the routine to the challenging, interspersed through the text, develop the reader's grasp of the material, exhibit applications of the general theory to diverse areas of algebra, and in some cases point to outstanding open questions. Graduate students and researchers wishing to gain fluency in important mathematical constructions will welcome this carefully motivated book.
On the Functional Equations Satisfied by Eisenstein Series
Author: Robert P. Langlands
Publisher: Springer
ISBN: 3540380701
Category : Mathematics
Languages : en
Pages : 344
Book Description
Publisher: Springer
ISBN: 3540380701
Category : Mathematics
Languages : en
Pages : 344
Book Description
Algebra, Arithmetic, and Geometry
Author: Yuri Tschinkel
Publisher: Springer Science & Business Media
ISBN: 0817647473
Category : Mathematics
Languages : en
Pages : 700
Book Description
EMAlgebra, Arithmetic, and Geometry: In Honor of Yu. I. ManinEM consists of invited expository and research articles on new developments arising from Manin’s outstanding contributions to mathematics.
Publisher: Springer Science & Business Media
ISBN: 0817647473
Category : Mathematics
Languages : en
Pages : 700
Book Description
EMAlgebra, Arithmetic, and Geometry: In Honor of Yu. I. ManinEM consists of invited expository and research articles on new developments arising from Manin’s outstanding contributions to mathematics.
Books in Series, 1876-1949
Author: R.R. Bowker Company
Publisher: New York : R.R. Bowker
ISBN:
Category : Language Arts & Disciplines
Languages : en
Pages : 1390
Book Description
Publisher: New York : R.R. Bowker
ISBN:
Category : Language Arts & Disciplines
Languages : en
Pages : 1390
Book Description
Computational Contact Mechanics
Author: Peter Wriggers
Publisher: Springer Science & Business Media
ISBN: 3211772987
Category : Science
Languages : en
Pages : 252
Book Description
Topics of this book span the range from spatial and temporal discretization techniques for contact and impact problems with small and finite deformations over investigations on the reliability of micromechanical contact models over emerging techniques for rolling contact mechanics to homogenization methods and multi-scale approaches in contact problems.
Publisher: Springer Science & Business Media
ISBN: 3211772987
Category : Science
Languages : en
Pages : 252
Book Description
Topics of this book span the range from spatial and temporal discretization techniques for contact and impact problems with small and finite deformations over investigations on the reliability of micromechanical contact models over emerging techniques for rolling contact mechanics to homogenization methods and multi-scale approaches in contact problems.
Quantum Fields and Strings: A Course for Mathematicians
Author: Pierre Deligne
Publisher: American Mathematical Society
ISBN: 0821820133
Category : Mathematics
Languages : en
Pages : 801
Book Description
A run-away bestseller from the moment it hit the market in late 1999. This impressive, thick softcover offers mathematicians and mathematical physicists the opportunity to learn about the beautiful and difficult subjects of quantum field theory and string theory. Cover features an intriguing cartoon that will bring a smile to its intended audience.
Publisher: American Mathematical Society
ISBN: 0821820133
Category : Mathematics
Languages : en
Pages : 801
Book Description
A run-away bestseller from the moment it hit the market in late 1999. This impressive, thick softcover offers mathematicians and mathematical physicists the opportunity to learn about the beautiful and difficult subjects of quantum field theory and string theory. Cover features an intriguing cartoon that will bring a smile to its intended audience.