#### Hall 123

#### On Multiplicative Lie Algebras

#### Mani Shankar Pandey

##### Institute of Mathematical Sciences

*A multiplicative Lie algebra is a group a (G, ·), endowed with an additional binary operation ⋆ satisfying the identities similar to universal*

commutator identities. The extra binary operation ⋆ on G is called the

multiplicative Lie product. On a non-abelian group G, the operations G×G

to G given by commutators ((x, y) 7→ xyx−1

y

−1

) or the constant map to

the identity ((x, y) 7→ 1) are examples of multiplicative Lie products. So,

it will be interesting to characterize the distinct multiplicative Lie products on a group. In my talk, I will present a partial characterization of

multiplicative Lie products on a finite group

Done