Polynomial Identities and Combinatorial Methods, Vol. 235 Book

	Preface
	Contributors
1	Linearization Method of Computing Z[subscript 2]-Codimensions of Identities of the Grassmann Algebra	1
2	Cocommutative Hopf Algebras Acting on Quantum Polynomials and Their Invariants	27
3	Combinatorial Properties of Free Algebras of Schreier Varieties	47
4	Graded Algebras and Graded Identities	101
5	Computational Approach to Polynomial Identities of Matrices: A Survey	141
6	Poincare Series of Generic Matrices	179
7	Combinatorial Methods for the Computation of Trace Cocharacters	193
8	Polynomial Identities for Graded Algebras	203
9	Matrix Invariants and the Failure of Weyl's Theorem	215
10	Free Nilpotent-by-Abelian Leibniz Algebras	237
11	Pebbles and Expansions in the Polynomial Ring	261
12	Group Actions, Codimensions, and Exponential Behaviour	287
13	Monotone Matrix Maps Preserve Non-maximal Rank	311
14	Explicit Decompositions of the Group Algebras FS[subscript n] and FA[subscript n]	329
15	Graded and Ordinary Polynomial Identities in Matrix and Related Algebras	359
16	Varieties of Linear Algebras with Almost Polynomial Growth	383
17	Algebras with Involution, Superalgebras, and Proper Subvarieties	397
18	Gradings and Graded Identities of the Algebra of n x n Upper Triangular Matrices	409