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The Homogeneous and Graded Coideal Subalgebras of U_χ
Author: XieXun
Tutor: HuNaiHong
School: East China Normal University
Course: Basic mathematics
Keywords: homogeneous and graded coideal subalgebras Nichols algebras Drinfeld double Lusztig isomorphism Weyl groupoid
CLC: O153
Type: Master's thesis
Year: 2012
Downloads: 5
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Abstract
The main object studied in this article is the homogeneous coideal subalgebras of the Drinfeld double of Nichols algebras of diagonal type Ux where the χ is a symmetrical bicharacter over a free abelian group with finite rank, and the χ corresponds to a finite Weyl groupoid. This article establishes the condition when the multiplication of a homogeneous coideal subalgebra of the nonnegative part of Uχ and that of the nonpositive part of Uχ is still a homogeneous coideal subalgebra [see Theorem.6.6]. And this result implies that the homogeneous coideal subalgebras of Uχ can be found out through checking the morphisms of Weyl groupoid.

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