Ryusuke Sugawara

collaborators

2 papers

math.KT2021

A Matsumoto type theorem for GL_n over rings of non-commutative Laurent polynomials

Ryusuke Sugawara

We give a Matsumoto-type presentation of $K_{2}$ -groups over rings of non-commutative Laurent polynomials, which is a non-commutative version of M. Tomie's result for loop groups. Ou…

math.GR2020

Universal central extensions of linear groups over rings of non-commutative Laurent polynomials, associated $K_{1}$ -groups and $K_{2}$ -groups

Ryusuke Sugawara

We prove that linear groups over rings of non-commutative Laurent polynomials $D_{τ}$ have Tits systems with the corresponding affine Weyl groups and have universal central extension…

A Matsumoto type theorem for GL_n over rings of non-commutative Laurent polynomials

Universal central extensions of linear groups over rings of non-commutative Laurent polynomials, associated K1​-groups and K2​-groups

Universal central extensions of linear groups over rings of non-commutative Laurent polynomials, associated $K_{1}$ -groups and $K_{2}$ -groups