Shuffle algebra and differential Galois group of colored polylogarithms
β Scribed by Ngoc Minh Hoang
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 214 KB
- Volume
- 135
- Category
- Article
- ISSN
- 0920-5632
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π SIMILAR VOLUMES
Random walk on the chambers of hyperplane arrangements is used to define a family of card shuffling measures H W x for a finite Coxeter group W and real x = 0. By algebraic group theory, there is a map from the semisimple orbits of the adjoint action of a finite group of Lie type on its Lie algebra
Using the representation theory of groups, we are able to give simple necessary and sufficient conditions regarding the structure of the Galois groups of second and third order linear differential equations. These allow us to give simple necessary and sufficient conditions for a second order linear
We use relations between Galois algebras and monoidal functors to describe monoidal functors between categories of representations of finite groups. We pay special attention to two kinds of these monoidal functors: monoidal functors to vector spaces and monoidal equivalences between categories of re
We construct free group algebras in the quotient ring of the differential w x polynomial ring K X; β¦ , for suitable division rings K and nonzero derivations β¦ in K.