Tathagata Basak

activity

20052026

most citedGeometric generators for braid-like groups

7 citations · 18 across the 14 of their papers we have counts for

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Showing 2017Show all

4 papers · 1 filter

math.RT2017

Root space decomposition of $g_{2}$ from octonions

Tathagata Basak

We describe a simple way to write down explicit derivations of octonions that form a Chevalley basis of $g_{2}$ . This uses the description of octonions as a twisted group…

math.RT2017

A Poincaré series on hyperbolic space

Tathagata Basak

Let $L$ be the unique even self-dual lattice of signature $(25, 1)$ . The automorphism group $Aut (L)$ acts on the hyperbolic space $H^{25}$ . We study a Poinc…

math.GT2017★ 3 cited

Generators for a complex hyperbolic braid group

Daniel Allcock, Tathagata Basak

We give generators for a certain complex hyperbolic braid group. That is, we remove a hyperplane arrangement from complex hyperbolic $13$ -space, take the quotient of the remaining…

math.RA2017★ 1 cited

The octonions as a twisted group algebra

Tathagata Basak

We show that the octonions can be defined as the $R$ -algebra with basis ${e^{x} : x \in F_{8}}$ and multiplication given by $e^x e^y = (-1)^{φ(x,y)…

Root space decomposition of g2​ from octonions

A Poincaré series on hyperbolic space

Generators for a complex hyperbolic braid group

The octonions as a twisted group algebra

Root space decomposition of $g_{2}$ from octonions