Advances in Lie Superalgebras, Maria Gorelik; Paolo Papi

Автор: Maria Gorelik; Paolo Papi
Название: Advances in Lie Superalgebras
ISBN: 3319029517 ISBN-13(EAN): 9783319029511
Издательство: Springer
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Цена: 46570.00 T
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Описание: The volume is the outcome of the conference "Lie superalgebras," which was held at the Istituto Nazionale di Alta Matematica, in 2012.

Автор: Timothy M.W. Eyre
Название: Quantum Stochastic Calculus and Representations of Lie Superalgebras
ISBN: 3540648976 ISBN-13(EAN): 9783540648970
Издательство: Springer
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Цена: 25110.00 T
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Описание: This book aims to provide a self-contained exposition of what is known about Z2-graded quantum stochastic calculus and to provide a framework for future research into this fertile area.

Автор: Xiaoping Xu
Название: Introduction to Vertex Operator Superalgebras and Their Modules
ISBN: 9048150965 ISBN-13(EAN): 9789048150960
Издательство: Springer
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Цена: 181630.00 T
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Описание: Vertex algebra was introduced by Boreherds, and the slightly revised notion "vertex oper- ator algebra" was formulated by Frenkel, Lepowsky and Meurman, in order to solve the problem of the moonshine representation of the Monster group - the largest sporadie group. On the one hand, vertex operator algebras ean be viewed as extensions of eertain infinite-dimensional Lie algebras such as affine Lie algebras and the Virasoro algebra. On the other hand, they are natural one-variable generalizations of commutative associative algebras with an identity element. In a certain sense, Lie algebras and commutative asso- ciative algebras are reconciled in vertex operator algebras. Moreover, some other algebraie structures, such as integral linear lattiees, Jordan algebras and noncommutative associa- tive algebras, also appear as subalgebraic structures of vertex operator algebras. The axioms of vertex operator algebra have geometrie interpretations in terms of Riemman spheres with punctures. The trace functions of a certain component of vertex operators enjoy the modular invariant properties. Vertex operator algebras appeared in physies as the fundamental algebraic structures of eonformal field theory, whieh plays an important role in string theory and statistieal meehanies. Moreover, eonformalfieldtheoryreveals animportantmathematiealproperty, the so called "mirror symmetry" among Calabi-Yau manifolds. The general correspondence between vertex operator algebras and Calabi-Yau manifolds still remains mysterious. Ever since the first book on vertex operator algebras by Frenkel, Lepowsky and Meur- man was published in 1988, there has been a rapid development in vertex operator su- peralgebras, which are slight generalizations of vertex operator algebras.

Автор: Xiaoping Xu
Название: Introduction to Vertex Operator Superalgebras and Their Modules
ISBN: 0792352424 ISBN-13(EAN): 9780792352426
Издательство: Springer
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Цена: 102480.00 T
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Описание: Presents a study on the structures of vertex operator superalgebras and their modules. This book includes related theories of self-dual codes and lattices, as well as achievements on classifications of certain simple vertex operator superalgebras and their irreducible twisted modules.