Research keywords (2):
リー代数の表現論
, Representation Theory of Lie algebras
Research theme for competitive and other funds (17):
2022 - 2025 Lefschetz properties of commutative algebras generated by relative invariants of prehomogeneous vector spaces
2020 - 2024 On the Lefschetz property of complete intersections
2015 - 2019 On the Lefschetz property of complete intersections
2014 - 2017 Human Resources Development through Community&School
2011 - 2016 Representation theory of Lie algebras and b-functions of prehomogeneous vector spaces
2011 - 2015 On the Lefschetz properties of complete intersections in commutative algebra
2009 - 2014 Orbits on flag varieties and moment maps
2008 - 2010 Study on the Lefschetz properties and generic initial ideals of complete intersections
2006 - 2009 Modern study on homogeneous spaces and unitary representations via duality
2005 - 2008 Affine quotient maps and invariant differential operators
2006 - 2007 Study on the Lefschetz property for complete intersections
2004 - 2006 不変式を用いた一般パーマ加群の研究
2002 - 2004 無限次元リー群およびリー代数に対する表現論の新たな展開
2000 - 2001 Classification problem of hypergeometric differential systems
2000 - 2001 Infinite dimensional quaternionic representations and nilpotent orbits
一般バーマ加群の構造と不変式のつながり
Generalized Verma modules and invariant theory
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Papers (22):
Tadahito Harima, Akihito Wachi, Junzo Watanabe. The strong Lefschetz property for complete intersections defined by products of linear forms. Archiv der Mathematik. 2019. 113. 1. 43-51
Kyo Nishiyama, Bent Ørsted, Akihito Wachi. Enhanced zeta distributions and its functional equations. Journal of Physics: Conference Series. 2019. 1194. 1
Kyo Nishiyama, Bent Rsted, Akihito Wachi. Enhanced zeta distributions and its functional equations. 32ND INTERNATIONAL COLLOQUIUM ON GROUP THEORETICAL METHODS IN PHYSICS (GROUP32). 2019. 1194
Kyo Nishiyama, Peter Trapa, Akihito Wachi. CODIMENSION ONE CONNECTEDNESS OF THE GRAPH OF ASSOCIATED VARIETIES. TOHOKU MATHEMATICAL JOURNAL. 2016. 68. 2. 199-239
Kyo Nishiyama, Peter Trapa, Akihito Wachi. Codimension one connectedness of the graph of associated varieties. Tohoku Mathematical Journal. 2016. 68. 2. 199-239