TY - JOUR
T1 - Representations of algebraic groups over A 2-dimensional local field
AU - Gaitsgory, Dennis
AU - Kazhdan, David
PY - 2004
Y1 - 2004
N2 - We introduce a categorical framework for the study of representations of G(F), where G is a reductive group, and F is a 2-dimensional local field, i.e. F = K((t)), where K is a local field. Our main result says that the space of functions on G(F), which is an object of a suitable category of representations of G(F) with the respect to the action of G on itself by left translations, becomes a representation of a certain central extension of G(F), when we consider the action by right translations.
AB - We introduce a categorical framework for the study of representations of G(F), where G is a reductive group, and F is a 2-dimensional local field, i.e. F = K((t)), where K is a local field. Our main result says that the space of functions on G(F), which is an object of a suitable category of representations of G(F) with the respect to the action of G on itself by left translations, becomes a representation of a certain central extension of G(F), when we consider the action by right translations.
UR - http://www.scopus.com/inward/record.url?scp=3242767686&partnerID=8YFLogxK
U2 - 10.1007/s00039-004-0468-5
DO - 10.1007/s00039-004-0468-5
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AN - SCOPUS:3242767686
SN - 1016-443X
VL - 14
SP - 535
EP - 574
JO - Geometric and Functional Analysis
JF - Geometric and Functional Analysis
IS - 3
ER -