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A braid-like presentation of the integral Steinberg group of type C_2

Abstract : We show that the Steinberg group $\text{St}(C_2,{\mathbb Z})$ associated with the Lie type $C_2$ and with integer coefficients can be realized as a quotient of the braid group $B_6$ by one relation. As an application we give a new braid-like presentation of the symplectic modular group $\text{Sp}_4({\mathbb Z})$.
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https://hal.archives-ouvertes.fr/hal-02880734
Contributor : Christian Kassel <>
Submitted on : Thursday, June 25, 2020 - 11:13:43 AM
Last modification on : Saturday, June 27, 2020 - 3:35:38 AM

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  • HAL Id : hal-02880734, version 1
  • ARXIV : 2006.13574

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Christian Kassel. A braid-like presentation of the integral Steinberg group of type C_2. 2020. ⟨hal-02880734⟩

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