Integral Bases For Affine Lie Algebras And Their Universal Enveloping Algebras

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Integral Bases For Affine Lie Algebras And Their Universal Enveloping Algebras

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Author : David Mitzman
language : en
Publisher: American Mathematical Soc.
Release Date : 1985

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

A revised version of the author's PhD thesis written under the supervision of J Lepowsky at Rutgers University in 1983.

Vertex Algebras And Integral Bases For The Enveloping Algebras Of Affine Lie Algebras

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Author : Shari A. Prevost
language : en
Publisher: American Mathematical Soc.
Release Date : 1992

Vertex Algebras And Integral Bases For The Enveloping Algebras Of Affine Lie Algebras written by Shari A. Prevost and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.

We present a new proof of the identities needed to exhibit an explicit [bold]Z-basis for the universal enveloping algebra associated to an affine Lie algebra. We then use the explicit [bold]Z-bases to extend Borcherds' description, via vertex operator representations, of a [bold]Z-form of the enveloping algebras for the simply-laced affine Lie algebras to the enveloping algebras associated to the unequal root length affine Lie algebras.

Geometry Of Group Representations

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Author : William Mark Goldman
language : en
Publisher: American Mathematical Soc.
Release Date : 1988

Geometry Of Group Representations written by William Mark Goldman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.

Contains papers based on talks delivered at the AMS-IMS-SIAM Summer Research Conference on the Geometry of Group Representations, held at the University of Colorado in Boulder in July 1987. This work offers an understanding of the state of research in the geometry of group representations and their applications.

Singularities

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Author : University of Minnesota. Institute for Mathematics and Its Applications
language : en
Publisher: American Mathematical Soc.
Release Date : 1989

Singularities written by University of Minnesota. Institute for Mathematics and Its Applications and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.

Covers the proceedings of the Institute for Mathematics and its Applications Participating Institutions Conference on Singularities, held at the University of Iowa in July 1986. Suitable for researchers in various aspects of singularity theory, this work provides an overview of the state of singularity theory and details work in several subareas.

Geometry Of Random Motion

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Author : Richard Durrett
language : en
Publisher: American Mathematical Soc.
Release Date : 1988

Geometry Of Random Motion written by Richard Durrett and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.

In July 1987, an AMS-IMS-SIAM Joint Summer Research Conference on Geometry of Random Motion was held at Cornell University. The initial impetus for the meeting came from the desire to further explore the now-classical connection between diffusion processes and second-order (hypo)elliptic differential operators. To accomplish this goal, the conference brought together leading researchers with varied backgrounds and interests: probabilists who have proved results in geometry, geometers who have used probabilistic methods, and probabilists who have studied diffusion processes. Focusing on the interplay between probability and differential geometry, this volume examines diffusion processes on various geometric structures, such as Riemannian manifolds, Lie groups, and symmetric spaces. Some of the articles specifically address analysis on manifolds, while others center on (nongeometric) stochastic analysis. The majority of the articles deal simultaneously with probabilistic and geometric techniques. Requiring a knowledge of the modern theory of diffusion processes, this book will appeal to mathematicians, mathematical physicists, and other researchers interested in Brownian motion, diffusion processes, Laplace-Beltrami operators, and the geometric applications of these concepts. The book provides a detailed view of the leading edge of research in this rapidly moving field.

Factorizations Of B Superscript N Plus Or Minus Symbol 1 B

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Author : John Brillhart
language : en
Publisher: American Mathematical Soc.
Release Date : 1988

Factorizations Of B Superscript N Plus Or Minus Symbol 1 B written by John Brillhart and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.

Algebraic K Theory And Algebraic Number Theory

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Author : Michael R. Stein
language : en
Publisher: American Mathematical Soc.
Release Date : 1989

Algebraic K Theory And Algebraic Number Theory written by Michael R. Stein and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.

This volume contains the proceedings of a seminar on Algebraic $K$-theory and Algebraic Number Theory, held at the East-West Center in Honolulu in January 1987. The seminar, which hosted nearly 40 experts from the U.S. and Japan, was motivated by the wide range of connections between the two topics, as exemplified in the work of Merkurjev, Suslin, Beilinson, Bloch, Ramakrishnan, Kato, Saito, Lichtenbaum, Thomason, and Ihara. As is evident from the diversity of topics represented in these proceedings, the seminar provided an opportunity for mathematicians from both areas to initiate further interactions between these two areas.

The Finite Calculus Associated With Bessel Functions

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Author : Frank M. Cholewinski
language : en
Publisher: American Mathematical Soc.
Release Date : 1988

The Finite Calculus Associated With Bessel Functions written by Frank M. Cholewinski and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.

Although Bessel functions are among the most widely used functions in applied mathematics, this book is essentially the first to present a calculus associated with this class of functions. The author obtains a generalized umbral calculus associated with the Euler operator and its associated Bessel eigenfunctions for each positive value of an index parameter. For one particular value of this parameter, the functions and operators can be associated with the radial parts of $n$-dimensional Euclidean space objects. Some of the results of this book are in part extensions of the work of Rota and his co-workers on the ordinary umbral calculus and binomial enumeration. The author also introduces a wide variety of new polynomial sequences together with their groups and semigroup compositional properties. Generalized Bernoulli, Euler, and Stirling numbers associated with Bessel functions and the corresponding classes of polynomials are also studied. The book is intended for mathematicians and physicists at the research level in special function theory.

The Legacy Of Sonya Kovalevskaya

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Author : Linda Keen
language : en
Publisher: American Mathematical Soc.
Release Date : 1987

The Legacy Of Sonya Kovalevskaya written by Linda Keen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.

Sonya Kovalevskaya was a distinguished mathematician and considered by her contemporaries to be among the best of her generation. This work contains background material about Kovalevskaya's life and work, including a discussion of how she has been perceived by the mathematical community over the last century.

Regular Differential Forms

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Author : Ernst Kunz
language : en
Publisher: American Mathematical Soc.
Release Date : 1988

Regular Differential Forms written by Ernst Kunz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.

Suitable for students and researchers in commutative algebra, algebraic geometry, and neighboring disciplines, this book introduces various sheaves of differential forms for equidimensional morphisms of finite type between noetherian schemes, the most important being the sheaf of regular differential forms.