The American Mathematical Society, with the financial support of the National Science Foundation, held its First Summer Mathematical Institute from June 20 to July 31, 1953. The topic chosen was Lie theory, twenty-nine mathematicians active in this area attended. The six-week period provided opportunity both for the interchange of ideas and for the subsequent shaping of ideas into theorems. The five papers present some results achieved by the participants.--Foreword.
Lie Groups, Lie Algebras, and Representations
Ross Lawther, Donna M. Testerman ... To establish these values of t', we first consider Jordan canonical forms. ... of size 1 in the Jordan canonical form of a unipotent element of X in this action; and [13] gives these block sizes.
We let Fl(A) be the set of equivalence classes of flat points of A. If p : A — B is a homomorphism of finite dimensional k-algebras such that B is a projective A-module, then p induces a map p, ; Fl(A) — Fl(B) ; [o] H spoo).
... 2001 Edward Frenkel and David Ben-Zvi, Vertex algebras and algebraic curves, second edition, 2004 Bruno Poizat, Stable groups, 2001 Stanley N. Burris, Number theoretic density and logical limit laws, 2001 V. A. Kozlov, V. G. Maz'ya, ...
During the past forty years, a new trend in the theory of associative algebras, Lie algebras, and their representations has formed under the influence of mathematical logic and universal algebra,...
The monster Lie algebra. We close this section by giving an excellent example of a generalized Kac-Moody algebra and writing down its denominator identity. In B3), Borcherds constructed the monster Lie algebra m from the ...
Lie Algebras in Particle Physics: From Isospin to Unified Theories
Lie Groups and Lie Algebras: Chapters 1-3
This volume contains the proceedings of the conference on Lie Algebras, Vertex Operator Algebras, and Related Topics, celebrating the 70th birthday of James Lepowsky and Robert Wilson, held from August 14–18, 2015, at the University of ...
Except for some minor changes, these are the notes of a series of lectures given at the Tata Institute of Fundamental Research, Mumbai.