Subgroup Lattices and Symmetric Functions Paperback / softback
Part of the Memoirs of the American Mathematical Society series
Paperback / softback
Description
This work presents foundational research on two approaches to studying subgroup lattices of finite abelian $p$-groups.
The first approach is linear algebraic in nature and generalizes Knuth's study of subspace lattices.
This approach yields a combinatorial interpretation of the Betti polynomials of these Cohen-Macaulay posets.
The second approach, which employs Hall-Littlewood symmetric functions, exploits properties of Kostka polynomials to obtain enumerative results such as rank-unimodality.
Butler completes Lascoux and Schutzenberger's proof that Kostka polynomials are nonnegative, then discusses their monotonicity result and a conjecture on Macdonald's two-variable Kostka functions.
Information
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Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:illustrations
- Publisher:American Mathematical Society
- Publication Date:30/12/1994
- Category:
- ISBN:9780821826003
Other Formats
- PDF from £40.50
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:illustrations
- Publisher:American Mathematical Society
- Publication Date:30/12/1994
- Category:
- ISBN:9780821826003
