In mathematics, the Birman–Murakami–Wenzl (BMW) algebra, introduced by Joan Birman and Hans Wenzl (1989) and Jun Murakami (1987), is a two-parameter family of algebras C n ( ℓ , m ) {\displaystyle \mathrm {C} _{n}(\ell ,m)} of dimension 1 ⋅ 3 ⋅ 5 ⋯ ( 2 n − 1 ) {\displaystyle 1\cdot 3\cdot 5\cdots (2n-1)} having the Hecke algebra of the symmetric group as a quotient. It is related to the Kauffman polynomial of a link.
In mathematics, the Birman–Murakami–Wenzl (BMW) algebra, introduced by Joan Birman and Hans Wenzl (1989) and Jun Murakami (1987), is a two-parameter family of algebras C n ( ℓ , m ) {\displaystyle \mathrm {C} _{n}(\ell ,m)} of dimension 1 ⋅ 3 ⋅ 5 ⋯ ( 2 n − 1 ) {\displaystyle 1\cdot 3\cdot 5\cdots (2n-1)} having the Hecke algebra of the symmetric group as a quotient. It is related to the Kauffman polynomial of a link.
Source: Wikipedia "Birman–Wenzl algebra" · CC BY-SA 4.0
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