Introduction Almost commuting $N$-tuples Some characterizations of groups of type $A$ $c$-pairs Commuting triples Some results on diagram automorphisms and associated root systems The fixed subgroup of an automorphism $C$-triples The tori $\overline{S}(k)$ and $\overline{S}^{w_c…
Introduction Generalized Kac-Moody algebras Modular forms Lattices and their Theta-functions The proof of Theorem 1.7 The real simple roots Hyperbolic Lie algebras Appendix A Appendix B Bibliography Notation.
Locally finite root systems
by Loos, Ottmar, Neher, Erhard
fromMemoirs of the American Mathematical Society
Locally finite root systems
by Loos, Ottmar, Neher, Erhard
fromMemoirs of the American Mathematical Society
Locally finite root systems
by Loos, Ottmar, Neher, Erhard
fromMemoirs of the American Mathematical Society
Locally finite root systems
by Loos, Ottmar, Neher, Erhard
fromMemoirs of the American Mathematical Society
Introduction The category of sets in vector spaces Finiteness conditions and bases Locally finite root systems Invariant inner products and the coroot system Weyl groups Integral bases, root bases and Dynkin diagrams Weights and coweights Classification More on Weyl groups and a…
This book is an introduction to Hopf algebras in braided monoidal categories with applications to Hopf algebras in the usual sense. The main goal of the book is to present from scratch and with complete proofs the theory of Nichols algebras (or quantum symmetric algebras) and th…
This book is an introduction to Hopf algebras in braided monoidal categories with applications to Hopf algebras in the usual sense. The main goal of the book is to present from scratch and with complete proofs the theory of Nichols algebras (or quantum symmetric algebras) and th…
"The present monograph develops a unified theory of Steinberg groups, independent of matrix representations, based on the theory of Jordan pairs and the theory of 3-graded locally finite root systems."
"The present monograph develops a unified theory of Steinberg groups, independent of matrix representations, based on the theory of Jordan pairs and the theory of 3-graded locally finite root systems. The development of this approach occurs over six chapters, progressing from gr…