Physical CombinatoricsAn Insertion Scheme for Cn Crystals.- On the Combinatorics of Forrester-Baxter Models.- Combinatorial R Matrices for a Family of Crystals: Cn(1) and A2n-1(2) Cases.- Theta Functions Associated with Affine Root Systems and the Elliptic Ruijsenaars Operators.- A Generalization of the q-Saalschütz Sum and the Burge Transform.- The Bethe Equation at q = 0, the Möbius Inversion Formula, and Weight Multiplicities I: The sl(2) Case.- Hidden E-Type Structures in Dilute A Models.- Canonical Bases of Higher-Level q-Deformed Fock Spaces and Kazhdan-Lusztig Polynomials.- Finite-Gap Difference Operators with Elliptic Coefficients and Their Spectral Curves. |
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Common terms and phrases
action affine affine Lie algebra analogue b₁ b₂ Bethe ansatz Bethe equation coefficients column insertion combinatorial configuration crystal bases crystal basis crystal graph D-transform define definition denote diagram dilute eigenvalue elliptic empty box energy function fermionic Fock space follows formula Hence identities implies integer interfacial irreducible Ising model isomorphism Kashiwara Kazhdan-Lusztig polynomials Knuth Kostka polynomial Lamé operator lattice Lemma Lie algebra m₁ Math matrix module move Note obtain odd band off-diagonal solutions pair particle partition path Phys polynomials PROOF Proposition q-deformed Fock space QTMs quantum representation resp result reverse slide root systems scoring vertices Section spectral parameter striking sequence string solutions t₁ Theorem theta functions transformation type I slide vector vertex w₁ wedge wedge product weight wt h Xi+1
References to this book
Classical and Quantum Nonlinear Integrable Systems: Theory and Application A Kundu Limited preview - 2019 |