Fermionic formula for double Kostka polynomials

Preprint, Other literature type English OPEN
Liu, Shiyuan;
  • Publisher: Mathematical Society of Japan
  • Journal: issn: 0025-5645
  • Publisher copyright policies & self-archiving
  • Related identifiers: doi: 10.2969/jmsj/07017431
  • Subject: 05E10 | crystals | rigged configurations | 82B23 | 05A30 | fermionic formulas | 17B37 | double kostka polynomials | 81R50 | Mathematics - Quantum Algebra
    arxiv: Mathematics::Quantum Algebra | Physics::Space Physics | Physics::Classical Physics

The $X=M$ conjecture asserts that the $1D$ sum and the fermionic formula coincide up to some constant power. In the case of type $A,$ both the $1D$ sum and the fermionic formula are closely related to Kostka polynomials. Double Kostka polynomials $K_{{\boldsymbol\lambda... View more
  • References (23)
    23 references, page 1 of 3

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