Opening book details…
Can I read Nonvanishing of Kronecker coefficients for rectangular shapes on EtoBox?
Nonvanishing of Kronecker coefficients for rectangular shapes by Peter Bürgisser; Matthias Christandl; Christian Ikenmeyer is a Mathematics article available to read on EtoBox.
What is Nonvanishing of Kronecker coefficients for rectangular shapes about?
We prove that for any partition (λ 1 , . . . , λ d 2 ) of size d there exists k 1 such that the tensor square of the irreducible representation of the symmetric group S k d with respect to the rectangular partition (k , . . . , k ) contains the irreducible representation corresponding to the stretched partition (kλ 1 , . . . , kλ d 2 ). We also prove a related approximate version of this statement in which the stretching factor k is effectively bounded in terms of d. We further discuss the consequences for geometric complexity theory which provided the motivation for this work.
Who reads Nonvanishing of Kronecker coefficients for rectangular shapes?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Peter Bürgisser; Matthias Christandl; Christian Ikenmeyer
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0001-8708)
- Published
- 2011
- Language
- EN
- Field
- Mathematics (Physical Sciences)