Exploring New Structures and Natural Constructions in Mathematical Physics

ISBN-13: 9784931469648 / Angielski / Twarda / 2011 / 462 str.

Koji Hasegawa; A. Tsuchiya;Nihon Sugakkai

Opis

"Professor Akihiro Tsuchiya of Nagoya University reached the retirement age of sixty-three. ... Upon the occasion of his retirement, an international conference entitled 'Exploration of new structures and natural constructions in mathematical physics' (March 5-8, 2007) was held at Nagoya University"--Pref.

Spis treści

<p><ul> <li>The triplet vertex operator algebra $W(p)$ and the restricted quantum group $\bar_q(sl_2)$ at $q=e^{\pi i/p}$ by K. Nagatomo and A. Tsuchiya</li> <li>Representation theory of W-algebras, II by T. Arakawa</li> <li>Chiral Potts model and the discrete Sine-Gordon model at roots of unity by V. V. Bazhanov</li> <li>Modular forms and elliptic genera for ALE spaces by T. Eguchi, Y. Sugawara, and A. Taormina</li> <li>Fermionic formulas for characters of $(1,p)$ logarithmic model in $\Phi_{2,1}$ quasiparticle realisation by B. Feigin, E. Feigin<, and I. Tipunin</li> <li>Quantization of soliton systems and Langlands duality by B. Feigin and E. Frenkel</li> <li>Quantizing the Backlund transformations of Painleve equations and the quantum discrete Painleve VI equation by K. Hasegawa</li> <li>Quantum groups and quantization of Weyl group symmetries of Painleve systems by G. Kuroki</li> <li>On Frenkel-Mukhin algorithm for $q$-character of quantum affine algebras by W. Nakai and T. Nakanishi</li> <li>Perverse coherent sheaves on blow-up. I. A quiver description by H. Nakajima and K. Yoshioka</li> <li>Differential Fay identities and auxiliary linear problem of integrable hierarchies by K. Takasaki<li> </ul></p>