Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Traces on infinite-dimensional Brauer algebras. / Nikitin, P. P.; Vershik, A. M.
в: Functional Analysis and its Applications, Том 40, № 3, 01.07.2006, стр. 165-172.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Traces on infinite-dimensional Brauer algebras
AU - Nikitin, P. P.
AU - Vershik, A. M.
PY - 2006/7/1
Y1 - 2006/7/1
N2 - We prove a theorem describing central measures for random walks on graded graphs. Using this theorem, we obtain the list of all finite traces on three infinite-dimensional algebras, namely, on the Brauer algebra, the walled Brauer algebra, and the partition algebra. The main result is that these lists coincide with the list of traces of the symmetric group or (for the walled Brauer algebra) of the square of the symmetric group.
AB - We prove a theorem describing central measures for random walks on graded graphs. Using this theorem, we obtain the list of all finite traces on three infinite-dimensional algebras, namely, on the Brauer algebra, the walled Brauer algebra, and the partition algebra. The main result is that these lists coincide with the list of traces of the symmetric group or (for the walled Brauer algebra) of the square of the symmetric group.
KW - Brauer algebra
KW - Central measure
KW - Finite trace
KW - Partition algebra
KW - Walled Brauer algebra
UR - http://www.scopus.com/inward/record.url?scp=33749522339&partnerID=8YFLogxK
U2 - 10.1007/s10688-006-0028-x
DO - 10.1007/s10688-006-0028-x
M3 - Article
AN - SCOPUS:33749522339
VL - 40
SP - 165
EP - 172
JO - Functional Analysis and its Applications
JF - Functional Analysis and its Applications
SN - 0016-2663
IS - 3
ER -
ID: 49959209