Modules and Comodules

Brzeziński, Tomasz

doi:10.1007/978-3-7643-8742-6

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Cited by 5 publications

(2 citation statements)

References 33 publications

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“…About ten year ago, a classification program of pointed Hopf algebras was launched by Andruskiewitsch and Schneider [1998] (see also [Andruskiewitsch and Schneider 2002b]). The success of this program depends on finding solutions to several questions, among them:…”

mentioning

confidence: 99%

Nichols algebras with standard braiding

Angiono

2009

ANT

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mentioning

confidence: 99%

Nichols algebras with standard braiding

Angiono

2009

ANT

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“…In particular, finite-dimensional analogues of quantized enveloping algebras were introduced and investigated by Lusztig [1990a;1990b]. About ten year ago, a classification program of pointed Hopf algebras was launched by Andruskiewitsch and Schneider [1998] (see also [Andruskiewitsch and Schneider 2002b]). The success of this program depends on finding solutions to several questions, among them: MSC2000: primary 17B37; secondary 16W20, 16W30.…”

Section: Introductionmentioning

confidence: 99%

Untitled

2009

ANT

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Let k be a field of characteristic zero, and let k[ε] n := k[ε]/(ε n). We construct an additive dilogarithm Li 2,n : B 2 (k[ε] n) → k ⊕(n−1) , where B 2 is the Bloch group which is crucial in studying weight two motivic cohomology. We use this construction to show that the Bloch complex of k[ε] n has cohomology groups expressed in terms of the K-groups K (•) (k[ε] n) as expected. Finally we compare this construction to the construction of the additive dilogarithm by Bloch and Esnault defined on the complex T n ‫()2(ޑ‬k). MSC2000: 11G55.

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Pre-torsors and equivalences

Böhm

Brzeziński

2007

Journal of Algebra

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Properties of (most general) non-commutative torsors or A-B torsors are analysed. Starting with pretorsors it is shown that they are equivalent to a certain class of Galois extensions of algebras by corings. It is shown that a class of faithfully flat pre-torsors induces equivalences between categories of comodules of associated corings. It is then proven that A-B torsors correspond to monoidal functors (and, under some additional conditions, equivalences) between categories of comodules of bialgebroids.

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Modules and Comodules

Cited by 5 publications

References 33 publications

Nichols algebras with standard braiding

Nichols algebras with standard braiding

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Pre-torsors and equivalences

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