Central elements of the elliptic monodromy matrix algebra at roots of unity
نویسندگان
چکیده
منابع مشابه
The Deformed Virasoro Algebra at Roots of Unity
We discuss some aspects of the representation theory of the deformed Virasoro algebra Virp,q. In particular, we give a proof of the formula for the Kac determinant and then determine the center of Virp,q for q a primitive N -th root of unity. We derive explicit expressions for the generators of the center in the limit t = qp → ∞ and elucidate the connection to the Hall-Littlewood symmetric func...
متن کاملTwo-rowed Hecke Algebra Representations at Roots of Unity
In this paper, we initiate a study into the explicit construction of irreducible representations of the Hecke algebra Hn(q) of type An−1 in the non-generic case where q is a root of unity. The approach is via the Specht modules of Hn(q) which are irreducible in the generic case, and possess a natural basis indexed by Young tableaux. The general framework in which the irreducible non-generic Hn(...
متن کاملA - TYPE HECKE ALGEBRA REPRESENTATIONS AT ROOTS OF UNITY † Trevor
In this paper, we describe a study into the explicit construction of irreducible representations of the Hecke algebra Hn(q) of type An−1 in the non-generic case where q is a root of unity. The approach is via the Specht modules of Hn(q) which are irreducible in the generic case, and possess a natural basis indexed by Young tableaux. The general framework in which the irreducible non-generic Hn(...
متن کاملRoots of unity as a Lie algebra
This note gives a categorical development arising from a theorem of A.A. Klyachko relating the Lie operad to roots of unity. We examine the "substitude" structure on the groupoid C whose homsets are the cyclic groups. The roots of unity representations of the cyclic groups form a Lie algebra for a certain oplax monoidal structure on the category of linear representations of C . Mathematics Subj...
متن کاملThe sl2 loop algebra symmetry of the twisted transfer matrix of the six vertex model at roots of unity
We discuss a family of operators which commute or anti-commute with the twisted transfer matrix of the six-vertex model at q being roots of unity: q = 1. The operators commute with the Hamiltonian of the XXZ spin chain under the twisted boundary conditions, and they are valid also for the inhomogeneous case. For the case of the anti-periodic boundary conditions, we show explicitly that the oper...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2005
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2004.12.033