|
Books > Science & Mathematics > Mathematics > Algebra
|
Buy Now
Topics in Computational Algebra (Paperback, Softcover reprint of the original 1st ed. 1990)
Loot Price: R4,344
Discovery Miles 43 440
|
|
|
Topics in Computational Algebra (Paperback, Softcover reprint of the original 1st ed. 1990)
Expected to ship within 10 - 15 working days
|
The main purpose of these lectures is first to briefly survey the
fundamental con nection between the representation theory of the
symmetric group Sn and the theory of symmetric functions and second
to show how combinatorial methods that arise naturally in the
theory of symmetric functions lead to efficient algorithms to
express various prod ucts of representations of Sn in terms of sums
of irreducible representations. That is, there is a basic isometry
which maps the center of the group algebra of Sn, Z(Sn), to the
space of homogeneous symmetric functions of degree n, An. This
basic isometry is known as the Frobenius map, F. The Frobenius map
allows us to reduce calculations involving characters of the
symmetric group to calculations involving Schur functions. Now
there is a very rich and beautiful theory of the combinatorics of
symmetric functions that has been developed in recent years. The
combinatorics of symmetric functions, then leads to a number of
very efficient algorithms for expanding various products of Schur
functions into a sum of Schur functions. Such expansions of
products of Schur functions correspond via the Frobenius map to
decomposing various products of irreducible representations of Sn
into their irreducible components. In addition, the Schur functions
are also the characters of the irreducible polynomial
representations of the general linear group over the complex
numbers GLn(C).
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
You might also like..
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
