The group \(G_ 2({\mathbb{C}})\) in connection with the theory of metaplectic forms

DOI10.1007/BF01099350zbMath0673.10024OpenAlexW2089931416MaRDI QIDQ1120617

Nikolai V. Proskurin

Publication date: 1987

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01099350

zbMATH Keywords

subgroupsdiscretemetaplectic Eisenstein seriesmetaplectic formssimple complex Lie groupsspecial Lie group \(G_ 2({\mathbb{C}})\)

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) General properties and structure of complex Lie groups (22E10)

Cites Work

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• Composition algebras and their automorphisms
• Metaplectic forms
• Automorphic functions and the Bass-Milnor-Serre homomorphism. II
• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• Cayley numbers and normal simple Lie algebras of type \(G\)
• Sur certains groupes simples