EXTRASPECIAL 2-GROUPS AND IMAGES OF BRAID GROUP REPRESENTATIONS
2006 ◽
Vol 15
(04)
◽
pp. 413-427
◽
Keyword(s):
We investigate a family of (reducible) representations of the braid groups [Formula: see text] corresponding to a specific solution to the Yang–Baxter equation. The images of [Formula: see text] under these representations are finite groups, and we identify them precisely as extensions of extra-special 2-groups. The decompositions of the representations into their irreducible constituents are determined, which allows us to relate them to the well-known Jones representations of [Formula: see text] factoring over Temperley–Lieb algebras and the corresponding link invariants.
2018 ◽
Vol 27
(06)
◽
pp. 1850043
◽
Keyword(s):
2020 ◽
Vol 29
(10)
◽
pp. 2042007
Keyword(s):
2010 ◽
Vol 19
(04)
◽
pp. 525-538
◽
Keyword(s):
1994 ◽
Vol 21
(2)
◽
pp. 167-172
2006 ◽
Vol 15
(08)
◽
pp. 949-956
◽
Keyword(s):
1991 ◽
Vol 06
(04)
◽
pp. 559-576
◽
Keyword(s):
Keyword(s):
2012 ◽
Vol 21
(09)
◽
pp. 1250087
◽