Furnishes important research papers and results on group algebras and PI-algebras, familiarizing researchers with the latest topics, techniques, and methodologies encompassing contemporary algebra. Topics include actions of groups and Hopf algebras; modular group algebras; combinatorics of Young diagrams; growth of algebras; groups of units of group rings; structure theory of group algebras; representation theory of groups and algebras; invariant theory; commutative algebra; theory of superalgebras; varieties of Lie algebras; Kac-Moody algebras; and structure of varieties in characteristic p . Annotation c. by Book News, Inc., Portland, Or.
Preface iii Contributors vii Identities of Algebras with Actions of Hopf Algebras 1(36) Yuri Bahturin Consequences of Degree n + 2 of the Standard Polynomial of Degree n 37(12) Francesca Benanti Vesselin Drensky Generators of the Units of the Modular Group Algebra of a Finite p-Group 49(14) Adalbert Bovdi Young Derivation of the Trace Cocharacters of the 2 x 2 Matrices 63(12) L. Carini A. Regev Torsion Subgroups of Units in Artinian Rings 75(8) Sonia P. Coelho Cesar Polcino Milies Polynomial Ideals and Identities of Matrices 83(14) Matyas Domokos Gelfand-Kirillov Dimension of PI-Algebras 97(18) Vesselin Drensky PI-Algebras and Codimension Growth 115(6) A. Giambruno M. V. Zaicev Unit Bases in Small Cyclic Group Rings 121(20) Klaus Hoechsmann Units in Integral Group Rings: A Survey 141(30) Eric Jespers On the Multilinear Components of the Regular Prime Varieties 171(14) Alexander Kemer Units in Group Rings and Geometry 185(14) Zbigniew S. Marciniak Sudarshan K. Sehgal The Semiprimitivity of Group Algebras 199(14) D. S. Passman Scale for Codimension Growth of Lie Algebras 213(10) V. M. Petrogradsky The Hopf Shuffle Algebra and Lie Series 223(6) A. Pianzola J. Valencia Graded Identities and Cocharacters of Products of T-Ideals 229(18) Angel Popov Deformations of Representations 247(30) C. Procesi The Engel Condition, Semigroup Identities, and Collapsibility in Associative Rings 277(10) David M. Riley Idempotent Ideals in Lie Nilpotent Rings 287(6) Jeno Szigeti Units and Group Identities in Rings 293(10) A. Valenti Varieties and Identities of Affine Kac-Moody Algebras 303 M. V. Zaicev
Vesselin Drensky (Edited by) , Antonio Giambruno (Universita Di Palermo, Italy) (Edited by) , Sudarshan K. Sehgal (University of Alberta, Edmonton, AB, Canada) (Edited by)
