Pith. sign in

REVIEW 1 cited by

Quantization of Poisson algebraic groups and Poisson homogeneous spaces

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv q-alg/9510020 v2 pith:HNBNAYBP submitted 1995-10-20 q-alg math.QA

Pavel Etingof , David Kazhdan This is my paper · ORCID
classification q-algmath.QA
keywords poissonquantizationalgebraicgrouphomogeneouspartspacesadmits
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

This paper consists of two parts. In the first part we show that any Poisson algebraic group over a field of characteristic zero and any Poisson Lie group admits a local quantization. This answers positively a question of Drinfeld. In the second part we apply our techniques of quantization to obtain some nontrivial examples of quantization of Poisson homogeneous spaces.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Coisotropic Lie bialgebras and complementary dual Poisson homogeneous spaces

    math-ph 2019-09 conditional novelty 6.0 of 10

    Coreductivity and cosymmetry of a Lie bialgebra are defined and shown to characterize when the complementary dual homogeneous space is reductive or symmetric, with applications to κ-deformed Lorentzian spacetimes.

Pith tools