Contents
Preface vii
Commuting Actions-A Tale of Two Groups
GEORGIA BENKART
1
Lie Theory over Commutative Rings and Lifting Invariant Forms
BoC~ ~
Polynomial Representations of Frobenius Kernels of
G
L
2
STEPHEN
R.
DOTY, DANIEL
K.
NAKANO, AND KARL M. PETERS
57
Homological Topics in the Representation Theory of Restricted Lie Algebras
J ORG FELDVOSS
69
An Exposition of Generalized Kac-Moody Algebras
ELIZABETH JURISICH
121
Root Multiplicities of Graded Lie Algebras
SEOK-JIN KANG
161
Similarity of Crystal Bases
MASAKI KASHIWARA
177
Some Topics on the Representation Theory of Generalized Kac-Moody
Algebras
SATOSHI NAITO
187
Complexity and Support Varieties for Finite Dimensional Algebras
DANIEL
K.
NAKANO
201
Quasi-particle Structure in Solvable Vertex Models
ATSUSHI NAKAYASHIKI
219
v
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