Contents. Introduction. 1. The representation groups of S,. 2. Conjugacy classes. 3. Clifford
algebras and the basic spin representation. 4. Induced products for spin representations. 5 …

I have been very gratified by the response to the first edition, which has resulted in it being
sold out. This put some pressure on me to come out with a second edition and now, finally …

This book gives a systematic account of the structure and representation theory of finite-
dimensional complex Lie superalgebras of classical type and serves as a good introduction …

This unique book provides the first introduction to crystal base theory from the combinatorial
point of view. Crystal base theory was developed by Kashiwara and Lusztig from the …

Gessel and Viennot have developed a powerful technique for enumerating various classes
of plane partitions [GVl, 21. There are two fundamental ideas behind this technique. The first …

We introduce analogues of the lattice of non-crossing set partitions for the classical reflection
groups of types B and D. The type B analogues (first considered by Montenegro in a different …

We make a systematic study of a new concept in the theory of jeu-de-taquin, which we call
dual equivalence. Using this, we prove a conjecture of Proctor establishing a bijection …

The task of a theory of Schubert polynomials is to produce explicit representatives for
Schubert classes in the cohomology ring of a flag variety, and to do so in a manner that is as …

An (ordinary) $ P $-partition is an order-preserving map from a partially ordered set to a
chain, with special rules specifying where equal values may occur. Examples include …

It was first observed in (F. Brenti, Mem. Amer. Math. Soc. 413, 1989) that Pólya frequency
sequences arise often in combinatorics. In this work we point out that the same is true, more …