TY - JOUR
T1 - CARTAN DECOMPOSITION FOR COMPLEX LOOP GROUPS
AU - Braverman, Alexander
AU - Kazhdan, David
PY - 2014/6
Y1 - 2014/6
N2 - In this note we formulate and prove a version of Cartan decomposition for holomorphic loop groups, similar to Cartan decomposition for p-adic loop groups, discussed in [3], [6]. The main technical tool that we use is the (well-known) interpretation of twisted conjugacy classes in the holomorphic loop group in terms of principal holomorphic bundles on an elliptic curve.
AB - In this note we formulate and prove a version of Cartan decomposition for holomorphic loop groups, similar to Cartan decomposition for p-adic loop groups, discussed in [3], [6]. The main technical tool that we use is the (well-known) interpretation of twisted conjugacy classes in the holomorphic loop group in terms of principal holomorphic bundles on an elliptic curve.
UR - http://www.scopus.com/inward/record.url?scp=84899796905&partnerID=8YFLogxK
U2 - 10.1007/s00031-014-9268-7
DO - 10.1007/s00031-014-9268-7
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AN - SCOPUS:84899796905
SN - 1083-4362
VL - 19
SP - 303
EP - 311
JO - Transformation Groups
JF - Transformation Groups
IS - 2
ER -