Physical Combinatorics"Taking into account the various criss-crossing among mathematical subjects, Physical Combinatorics presents new results and exciting ideas from three viewpoints: representation theory, integrable models, and combinatorics." "This volume will be of interest to mathematical physicists and graduate students in the above-mentioned fields."--BOOK JACKET. |
Contents
On the Combinatorics of ForresterBaxter Models | 49 |
Goro Hatayama Atsuo Kuniba Masato Okado and Taichiro Takagi | 105 |
Theta Functions Associated with Affine Root Systems and the Elliptic | 141 |
Copyright | |
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affine affine Lie algebra 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 Hecke algebras 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 Note obtain odd band off-diagonal solutions pair particle partition path Phys polynomials PROOF Proposition q-deformed Fock spaces QTMs quantum quantum affine algebra representation resp result reverse bump reverse slide root systems scoring vertices Section spectral parameter string solutions t₁ tableaux Theorem transformation type I slide vector vertex wedge weight wt h wt(h