Seminars & Colloquia Calendar
Vertex operators for imaginary gl_2-subalgebras in the Monster Lie Algebra
Speaker Darlayne Addabbo, University of Arizona
Location: Zoom
Date & time: Friday, 11 November 2022 at 12:10PM - 1:10PM
Abstract The Monster Lie algebra m is a quotient of the physical space of the vertex algebra V=V^
aturalotimes V_{1,1}, where V^
atural is the Moonshine module of Frenkel, Lepowsky, and Meurman, and V_{1,1} is the vertex algebra corresponding to the rank 2 even unimodular lattice II_{1,1}. It is known that $mathfrak m$ has gl_2-subalgebras generated by both real and imaginary root vectors and that the Monster simple group $mathbb{M}$ acts trivially on the gl_2-subalgebra corresponding to the unique real simple root. We construct elements of V that project under the quotient map to the Serre-Chevalley generators of families of gl_2-subalgebras corresponding to the imaginary simple roots (1,n) of m for 0
aturalotimes V_{1,1}, where V^
atural is the Moonshine module of Frenkel, Lepowsky, and Meurman, and V_{1,1} is the vertex algebra corresponding to the rank 2 even unimodular lattice II_{1,1}. It is known that $mathfrak m$ has gl_2-subalgebras generated by both real and imaginary root vectors and that the Monster simple group $mathbb{M}$ acts trivially on the gl_2-subalgebra corresponding to the unique real simple root. We construct elements of V that project under the quotient map to the Serre-Chevalley generators of families of gl_2-subalgebras corresponding to the imaginary simple roots (1,n) of m for 0
Zoom link https://rutgers.zoom.us/j/93921465287
Meeting ID: 939 2146 5287
Passcode: 196884, the dimension of the weight 2 homogeneous
subspace of the moonshine module
Meeting ID: 939 2146 5287
Passcode: 196884, the dimension of the weight 2 homogeneous
subspace of the moonshine module
