The Taylor Map on Complex Path Groups
The heat kernel measure vt is constructed on W(G), the group of paths based at the identity on a simply connected complex Lie group G. An isometric map, the Taylor map, is established from the space of L2(vt)-holomorphic functions on W(G) to a subspace of the dual of the universal enveloping algebra...
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University Of California, San Diego
2007
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| Truy cập trực tuyến: | http://ir.vnulib.edu.vn/handle/123456789/1334 |
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oai:192.168.1.90:123456789-13342022-03-28T10:19:26Z The Taylor Map on Complex Path Groups Cecil, Matthew Steven Nhóm (Toán học) Taylor map The heat kernel measure vt is constructed on W(G), the group of paths based at the identity on a simply connected complex Lie group G. An isometric map, the Taylor map, is established from the space of L2(vt)-holomorphic functions on W(G) to a subspace of the dual of the universal enveloping algebra of Lie(H(G)), where H(G) is the Lie subgroup of finite energy paths. Surjectivity of this Taylor map can be shown in the case where G is stratified nilpotent. 2007-12-17T03:04:16Z 2007-12-17T03:04:16Z 2006 Thesis http://ir.vnulib.edu.vn/handle/123456789/1334 en_US application/pdf University Of California, San Diego |
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Đại học Quốc Gia Hồ Chí Minh |
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DSpace |
| language |
en_US |
| topic |
Nhóm (Toán học) Taylor map |
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Nhóm (Toán học) Taylor map Cecil, Matthew Steven The Taylor Map on Complex Path Groups |
| description |
The heat kernel measure vt is constructed on W(G), the group of paths based at the identity on a simply connected complex Lie group G. An isometric map, the Taylor map, is established from the space of L2(vt)-holomorphic functions on W(G) to a subspace of the dual of the universal enveloping algebra of Lie(H(G)), where H(G) is the Lie subgroup of finite energy paths. Surjectivity of this Taylor map can be shown in the case where G is stratified nilpotent. |
| format |
Thesis |
| author |
Cecil, Matthew Steven |
| author_facet |
Cecil, Matthew Steven |
| author_sort |
Cecil, Matthew Steven |
| title |
The Taylor Map on Complex Path Groups |
| title_short |
The Taylor Map on Complex Path Groups |
| title_full |
The Taylor Map on Complex Path Groups |
| title_fullStr |
The Taylor Map on Complex Path Groups |
| title_full_unstemmed |
The Taylor Map on Complex Path Groups |
| title_sort |
taylor map on complex path groups |
| publisher |
University Of California, San Diego |
| publishDate |
2007 |
| url |
http://ir.vnulib.edu.vn/handle/123456789/1334 |
| work_keys_str_mv |
AT cecilmatthewsteven thetaylormaponcomplexpathgroups AT cecilmatthewsteven taylormaponcomplexpathgroups |
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1749008576563642368 |