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The motivic class of the classifying stack of the special orthogonal group
Author(s) -
Talpo Mattia,
Vistoli Angelo
Publication year - 2017
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms.12072
Subject(s) - mathematics , stack (abstract data type) , class (philosophy) , group (periodic table) , pure mathematics , orthogonal group , algebra over a field , artificial intelligence , computer science , programming language , chemistry , organic chemistry
We compute the class of the classifying stack of the special orthogonal group in the Grothendieck ring of stacks, and check that it is equal to the multiplicative inverse of the class of the group.