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SUMMARY:Sutanu Roy (NISER)
DTSTART:20200916T113000Z
DTEND:20200916T130000Z
DTSTAMP:20260423T052712Z
UID:WOTOA/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WOTOA/4/">Qu
 antum group contraction and bosonisation</a>\nby Sutanu Roy (NISER) as par
 t of Webinars on Operator Theory and Operator Algebras\n\n\nAbstract\nAbst
 ract: In 1953  İnönü and Wigner introduced group contraction: a systema
 tic (limiting) process to obtain from a given Lie group a non-isomorphic L
 ie group. For example\, the contraction of SU(2) group (with respect to it
 s closed subgroup T) is isomorphic to the double cover of E(2) group. The 
 q-deformed C*-algebraic analogue of this example was introduced and invest
 igated by Woronowicz during the mid '80s to early '90s. More precisely\, t
 he C*-algebraic deformations of SU(2) and (the double cover of) E(2) with 
 respect to real deformation parameters 0<|q|<1 become compact (denoted by 
 SUq(2)) and non-compact locally compact (denoted by Eq(2)) quantum groups\
 , respectively. Furthermore\, the contraction of SUq(2) groups becomes (is
 omorphic) to Eq(2) groups. However\, for complex deformation parameters 0<
 |q|<1\, the objects SUq(2) and Eq(2) are not ordinary but braided quantum 
 groups. More generally\, the quantum analogue of the normal subgroup of a 
  semidirect product group becomes a braided quantum group and the reconstr
 uction process of the semidirect product quantum group from a braided quan
 tum group is called bosonisation. In this talk\, we shall present a braide
 d version of the contraction procedure between SUq(2) and Eq(2) groups (fo
 r complex deformation parameters 0<|q|<1) and address its compatibility wi
 th bosonisation. This is based on a joint work with Atibur Rahaman.\n
LOCATION:https://researchseminars.org/talk/WOTOA/4/
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