منابع مشابه
” Quantum Groups , Deformations , and Geometry ”
Andrea Appel: Cohomological properties of universal relative twists Abstract: In 1995, Donin and Shnider provided a new approach to the quantization of a complex semisimple Lie algebra g, using cohomological methods to directly construct a twist, i.e. an element which reduces the nontrivial associator in the Drinfeld category of U(g) to the trivial associativity constraint. Their methods were l...
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We introduce the notion of primitive elements in arbitrary truncated p-divisible groups. By design, the scheme of primitive elements is finite and locally free over the base. Primitive elements generalize the “points of exact order N ,” developed by Drinfeld and Katz-Mazur for elliptic curves.
متن کاملQuantum Deformations of Fundamental Groups of Oriented 3-manifolds
We compute two-term skein modules of framed oriented links in oriented 3-manifolds. They contain the self-writhe and total linking number invariants of framed oriented links in a universal way. The relations in a natural presentation of the skein module are interpreted as monodromies in the space of immersions of circles into the 3-manifold.
متن کاملGraded Deformations of Algebraic Quantum Groups at Roots of Unity
Let G be a connected, simply connected complex semisimple Lie group of rank n. The deformations employed by Artin-Schelter-Tate and Hodges-Levasseur-Toro can be applied to the single parameter quantizations, at roots of unity, of the Hopf algebra of regular functions on G. Each of the resulting complex multiparameter quantum groups F ;p G] depends on both a suitable root of unity and an antisym...
متن کاملDeformations of Quantum Hyperplanes
We consider the quantum hyperplane x ' x J = q , j x J x ' (i, j = 1..n) and define and consider = 'J and fl'J are complex numbers. We deformations of the form x ' x J q,~ x J x ~ + Zk ~ J X k + fl'J, where ~k prove that for generic q,j no nontrivial deformations exist for n/> 3 Mathematics Subject Classifications (1991). 17B37, 16E40.
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ژورنال
عنوان ژورنال: Algebras and Representation Theory
سال: 2018
ISSN: 1386-923X,1572-9079
DOI: 10.1007/s10468-018-9800-x