The center of U_q (n_ω)

TY - JOUR

T1 - The center of Uq (nω)

AU - Jakobsen, Hans Plesner

PY - 2018/1/2

Y1 - 2018/1/2

N2 - Based on [24], we point to a new and very useful direction of approach to a general set of problems. We exemplify it here by obtaining the center of a localization of Uq(nω) ⊆ U+q(g) by the covariant elements (non-mutable elements). It is based on constructions and results from quantum cluster algebras. The non-zero complex parameter q is mostly assumed not to be a root of unity, but our method also gives many details in case q is a primitive root of unity. Further, we use this to give a generalization to double Schubert Cell algebras and indicate that other families may also be handled.

AB - Based on [24], we point to a new and very useful direction of approach to a general set of problems. We exemplify it here by obtaining the center of a localization of Uq(nω) ⊆ U+q(g) by the covariant elements (non-mutable elements). It is based on constructions and results from quantum cluster algebras. The non-zero complex parameter q is mostly assumed not to be a root of unity, but our method also gives many details in case q is a primitive root of unity. Further, we use this to give a generalization to double Schubert Cell algebras and indicate that other families may also be handled.

U2 - 10.1080/00927872.2017.1332197

DO - 10.1080/00927872.2017.1332197

M3 - Journal article

SN - 0092-7872

VL - 46

SP - 262

EP - 282

JO - Communications in Algebra

JF - Communications in Algebra

IS - 1

ER -