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Author: Daniel Ken Nakano
Publisher: American Mathematical Soc.
Published: 1992
Total Pages: 97
ISBN-13: 0821825305
DOWNLOAD EBOOKThis paper investigates the question of linkage and block theory for Lie algebras of Cartan type. The second part of the paper deals mainly with block structure and projective modules of Lies algebras of types W and K.
Author: Joseph Ferrar
Publisher: Walter de Gruyter
Published: 2011-06-24
Total Pages: 265
ISBN-13: 3110801892
DOWNLOAD EBOOKThisseries is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.
Author: Marina Avitabile
Publisher: American Mathematical Soc.
Published: 2015-11-30
Total Pages: 258
ISBN-13: 1470410230
DOWNLOAD EBOOKThis volume contains the proceedings of the Workshop on Lie Algebras, in honor of Helmut Strade's 70th Birthday, held from May 22-24, 2013, at the Università degli Studi di Milano-Bicocca, Milano, Italy. Lie algebras are at the core of several areas of mathematics, such as, Lie groups, algebraic groups, quantum groups, representation theory, homogeneous spaces, integrable systems, and algebraic topology. The first part of this volume combines research papers with survey papers by the invited speakers. The second part consists of several collections of problems on modular Lie algebras, their representations, and the conjugacy of their nilpotent elements as well as the Koszulity of (restricted) Lie algebras and Lie properties of group algebras or restricted universal enveloping algebras.
Author: Zongzhu Lin
Publisher: American Mathematical Soc.
Published: 2009-01-16
Total Pages: 314
ISBN-13: 0821845551
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Author: Santos González
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 429
ISBN-13: 9401109907
DOWNLOAD EBOOKThis volume contains the proceedings of the Third International Conference on Non-Associative Algebra and Its Applications, held in Oviedo, Spain, July 12--17, 1993. The conference brought together specialists from all over the world who work in this interesting and active field, which is currently enjoying much attention. All aspects of non-associative algebra are covered. Topics range from purely mathematical subjects to a wide spectrum of applications, and from state-of-the-art articles to overview papers. This collection will point the way for further research for many years to come. The volume is of interest to researchers in mathematics as well as those whose work involves the application of non-associative algebra in such areas as physics, biology and genetics.
Author: Theodore Gerard Faticoni
Publisher: American Mathematical Soc.
Published: 1993
Total Pages: 164
ISBN-13: 9780821825549
DOWNLOAD EBOOKIt is the goal of the memoir to develop a functorial transfer of properties between [italic capital]A and [script capital]M[subscript italic capital]E, the category of modules over [italic capital]E, that is more sensitive than the traditional starting point, Hom([italic capital]A, ·). This memoir should be accessible to anyone who has a working knowledge of rings, modules, functors, and categories equivalent to that gained by reading Anderson and Fuller's text "Rings and Categories of Modules."
Author: Karl-Hermann Neeb
Publisher: American Mathematical Soc.
Published: 1993
Total Pages: 209
ISBN-13: 0821825623
DOWNLOAD EBOOKFirst we investigate the structure of Lie algebras with invariant cones and give a characterization of those Lie algebras containing pointed and generating invariant cones. Then we study the global structure of invariant Lie semigroups, and how far Lie's third theorem remains true for invariant cones and Lie semigroups.
Author: Igor Frenkel
Publisher: American Mathematical Soc.
Published: 1993
Total Pages: 79
ISBN-13: 0821825550
DOWNLOAD EBOOKThe basic definitions and properties of vertex operator algebras, modules, intertwining operators and related concepts are presented, following a fundamental analogy with Lie algebra theory. The first steps in the development of the general theory are taken, and various natural and useful reformulations of the axioms are given. In particular, tensor products of algebras and modules, adjoint vertex operators and contragradient modules, adjoint intertwining operators and fusion rules are studied in greater depth. This paper lays the monodromy-free axiomatic foundation of the general theory of vertex operator algebras, modules and intertwining operators.
Author: Yongsheng Han
Publisher: American Mathematical Soc.
Published: 1994
Total Pages: 138
ISBN-13: 0821825925
DOWNLOAD EBOOKIn this work, Han and Sawyer extend Littlewood-Paley theory, Besov spaces, and Triebel-Lizorkin spaces to the general setting of a space of homogeneous type. For this purpose, they establish a suitable analogue of the Calder 'on reproducing formula and use it to extend classical results on atomic decomposition, interpolation, and T1 and Tb theorems. Some new results in the classical setting are also obtained: atomic decompositions with vanishing b-moment, and Littlewood-Paley characterizations of Besov and Triebel-Lizorkin spaces with only half the usual smoothness and cancellation conditions on the approximate identity.
Author: Oscar Zariski
Publisher: American Mathematical Soc.
Published: 1951
Total Pages: 99
ISBN-13: 082181205X
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