Some generalized Kac-Moody algebras with known root multiplicities
著者
書誌事項
Some generalized Kac-Moody algebras with known root multiplicities
（Memoirs of the American Mathematical Society, no. 746）
American Mathematical Society, 2002
大学図書館所蔵 件 / 全16件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
"May 2002, volume 157, number 746 (second of 5 numbers)"
Includes bibliography (p. 116-117)
内容説明・目次
内容説明
Starting from Borcherds' fake monster Lie algebra we construct a sequence of six generalized Kac-Moody algebras whose denominator formulas, root systems and all root multiplicities can be described explicitly. The root systems decompose space into convex holes, of finite and affine type, similar to the situation in the case of the Leech lattice. As a corollary, we obtain strong upper bounds for the root multiplicities of a number of hyperbolic Lie algebras, including $AE_3$.
目次
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.
「Nielsen BookData」 より