Tathagata Basak

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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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4 papers · 1 filter

math.RT2018

A new complex reflection group in $P U (9, 1)$ and the Barnes-Wall lattice

Tathagata Basak

We show that the projectivized complex reflection group $Γ$ of the unique $(1 + i)$ -modular Hermitian $Z [i]$ -module of signature $(9, 1)$ is a new arithmetic reflection group…

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.RT2012

Modular lattices from finite projective planes

Tathagata Basak

Using the geometry of the projective plane over the finite field F_q, we construct a Hermitian Lorentzian lattice L_q of dimension (q^2 + q + 2) defined over a certain number ring…

A new complex reflection group in PU(9,1) and the Barnes-Wall lattice

Root space decomposition of g2​ from octonions

A Poincaré series on hyperbolic space

Modular lattices from finite projective planes

A new complex reflection group in $P U (9, 1)$ and the Barnes-Wall lattice

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