COMPATIBLE SYSTEMS OF GALOIS REPRESENTATIONS ASSOCIATED TO THE EXCEPTIONAL GROUP $E_{6}$
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DOI: 10.1017/fms.2018.24
Abstract: We construct, over any CM field, compatible systems of $l$ -adic Galois representations that appear in the cohomology of algebraic varieties and have (for all $l$ ) algebraic monodromy groups equal to the exceptional group… read more here.
Keywords: compatible systems; representations associated; galois representations; exceptional group ... See more keywords
A fermionic code related to the exceptional group E 8
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/aac192
Abstract: In this paper we study the Hamming-like fermionic code encoding three-qubits into 16 Majorana modes, recently introduced by Hastings. We show that although this fermionic code cannot be obtained from a single qubit stabilizer code… read more here.
Keywords: code; exceptional group; related exceptional; code related ... See more keywords