---
res:
  bibo_abstract:
  - In this paper, we introduce a quantum version of the wonderful compactification
    of a group as a certain noncommutative projective scheme. Our approach stems from
    the fact that the wonderful compactification encodes the asymptotics of matrix
    coefficients, and from its realization as a GIT quotient of the Vinberg semigroup.
    In order to define the wonderful compactification for a quantum group, we adopt
    a generalized formalism of Proj categories in the spirit of Artin and Zhang. Key
    to our construction is a quantum version of the Vinberg semigroup, which we define
    as a q-deformation of a certain Rees algebra, compatible with a standard Poisson
    structure. Furthermore, we discuss quantum analogues of the stratification of
    the wonderful compactification by orbits for a certain group action, and provide
    explicit computations in the case of SL2.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Iordan V
      foaf_name: Ganev, Iordan V
      foaf_surname: Ganev
      foaf_workInfoHomepage: http://www.librecat.org/personId=447491B8-F248-11E8-B48F-1D18A9856A87
  bibo_doi: 10.1112/jlms.12193
  bibo_issue: '3'
  bibo_volume: 99
  dct_date: 2019^xs_gYear
  dct_identifier:
  - UT:000470025900008
  dct_language: eng
  dct_publisher: Wiley@
  dct_title: The wonderful compactification for quantum groups@
...