Toric degeneration of branching algebras Academic Article

abstract

• For each classical symmetric pair (G, H), there is a naturally defined multi-graded algebra A (G, H) , called the branching algebra for (G, H), which encodes the branching rule from G to H. This algebra has a natural family of subalgebras, depending on integer parameters. For a certain range of the parameters, the subalgebras have a particularly simple structure and are called stable branching algebras. In this paper, we show that the stable branching algebras for eight out of the ten families of classical symmetric pairs are flat deformations of the semigroup algebras of explicitly described lattice cones. 2008 Elsevier Inc. All rights reserved.

authors

• Howe, Roger

published proceedings

• ADVANCES IN MATHEMATICS

altmetric score

• 3

author list (cited authors)

• Howe, R., Jackson, S., Lee, S. T., Tan, E., & Willenbring, J.

citation count

• 8

complete list of authors

• Howe, Roger||Jackson, Steven||Lee, Soo Teck||Tan, Eng-Chye||Willenbring, Jeb

publication date

• April 2009

publisher

• Elsevier  Publisher

published in

• Advances in Mathematics  Journal

keywords

• Branching Algebra
• Classical Symmetric Pairs
• Lattice Cones
• Semigroup Algebras
• Toric Deformation

Digital Object Identifier (DOI)

• 10.1016/j.aim.2008.11.010

start page

• 1809

end page

• 1841

volume

• 220

issue

• 6

URL

• http://dx.doi.org/10.1016/j.aim.2008.11.010