ON THE STABLE DERIVATION ALGEBRA ASSOCIATED WITH SOME BRAID-GROUPS

被引:21
作者
IHARA, Y
机构
[1] Research Institute for Mathematical Sciences, Kyoto University, Kyoto
关键词
D O I
10.1007/BF02808157
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We shall prove some stability property of the graded Lie algebra D(n) of certain derivations associated with pure sphere braid group on n strings; in fact, that D(n) congruent-to D5 for n greater-than-or-equal-to 6. These Lie algebras D(n) are connected with some big l-adic Galois representations, and the stability property is related to some conjecture of Grothendieck.
引用
收藏
页码:135 / 153
页数:19
相关论文
共 50 条
[41]   ALGEBRAS OF INFINITE DIMENSION, BRAID-GROUPS AND QUANTUM-GROUPS IN ACCORDANCE WITH 2-DIMENSION THEORIES [J].
LACKI, J .
RIVISTA DEL NUOVO CIMENTO, 1989, 12 (12) :1-52
[42]   The BNS invariants of the braid groups and pure braid groups of some surfaces [J].
de Miranda e Pereiro, Carolina ;
Sgobbi, Wagner Carvalho .
COMMUNICATIONS IN ALGEBRA, 2025, 53 (04) :1688-1712
[43]   The BNS invariants of the braid groups and pure braid groups of some surfaces [J].
de Miranda e Pereiro, Carolina ;
Sgobbi, Wagner Carvalho .
COMMUNICATIONS IN ALGEBRA, 1600, 2 (12) :2470-1343
[44]   BRAID-GROUPS AND EUCLIDEAN LIE-ALGEBRAS IN STATISTICAL-MECHANICS OF SPIN SYSTEMS [J].
RASETTI, M .
LECTURE NOTES IN PHYSICS, 1984, 201 :438-443
[45]   The multiple zeta value algebra and the stable derivation algebra [J].
Furusho, H .
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2003, 39 (04) :695-720
[46]   BRAIDED MONOIDAL 2-CATEGORIES AND MANIN-SCHECHTMAN HIGHER BRAID-GROUPS [J].
KAPRANOV, M ;
VOEVODSKY, V .
JOURNAL OF PURE AND APPLIED ALGEBRA, 1994, 92 (03) :241-267
[47]   Automorphism groups of some pure braid groups [J].
Cohen, Daniel C. .
TOPOLOGY AND ITS APPLICATIONS, 2012, 159 (16) :3404-3416
[48]   On some groups related to the Braid Groups of type A [J].
Barad, Gefry .
ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2010, 37 (02) :47-61
[49]   ON INDEPENDENCE OF SOME PSEUDOCHARACTERS ON BRAID GROUPS [J].
Dynnikov, I. A. ;
Shastin, V. A. .
ST PETERSBURG MATHEMATICAL JOURNAL, 2013, 24 (06) :863-876
[50]   Some linear representations of braid groups [J].
Humphries, SP .
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2000, 9 (03) :341-366