4:["$","div",null,{"className":"min-h-screen bg-white flex flex-col","children":[["$","div",null,{"className":"px-6 pt-6 pb-4 border-b border-gray-100","children":[["$","div",null,{"className":"flex items-center gap-1.5 text-xs text-gray-400 mb-4","children":[["$","a",null,{"href":"/","className":"hover:text-[#26a69a] transition-colors","children":"Market"}],["$","span",null,{"children":"›"}],["$","span",null,{"className":"text-gray-600","children":"Harish-Chandra module"}]]}],["$","div",null,{"className":"text-[10px] text-gray-400 uppercase tracking-widest mb-1","children":"Company Profile"}],["$","h1",null,{"className":"text-2xl font-bold text-gray-900","children":"Harish-Chandra module"}],null]}],["$","div",null,{"className":"flex-1 px-6 py-6","children":[["$","p",null,{"className":"text-sm text-gray-600 leading-relaxed mb-8","children":"In mathematics, specifically in the representation theory of Lie groups, a Harish-Chandra module, named after the Indian-American mathematician and physicist Harish-Chandra, is a representation of a real Lie group, associated to a general representation, with regularity and finiteness conditions. When the associated representation is a -module, then its Harish-Chandra module is a representation with desirable factorization properties."}],["$","div",null,{"className":"columns-1 md:columns-2 gap-10","children":[["$","div","0",{"className":"mb-8 break-inside-avoid","children":[["$","div",null,{"className":"text-xs font-semibold text-gray-400 uppercase tracking-wide mb-3 border-b border-gray-100 pb-1","children":"Definition"}],["$","div",null,{"className":"text-sm text-gray-600 leading-relaxed wiki-content","dangerouslySetInnerHTML":{"__html":"Let G be a Lie group and K a compact subgroup of G. If (\\pi,V) is a representation of G, then the Harish-Chandra module of \\pi is the subspace X of V consisting of the K-finite smooth vectors in V. This means that X includes exactly those vectors v such that the map \\varphi_v : G \\longrightarrow V via :\\varphi_v(g) = \\pi(g)v is smooth, and the subspace :\\text{span}\\{\\pi(k)v : k\\in K\\} is finite-dimensional. ==Notes=="}}]]}]]}],["$","div",null,{"className":"mt-8 pt-4 border-t border-gray-100","children":["$","a",null,{"href":"https://en.wikipedia.org/wiki/Harish-Chandra%20module","target":"_blank","rel":"noopener noreferrer","className":"text-xs text-gray-400 hover:text-gray-600 transition-colors","children":"Source: Wikipedia ↗"}]}]]}],["$","div",null,{"className":"px-6 py-4 border-t border-gray-100 flex justify-between items-center","children":[["$","a",null,{"href":"/","className":"text-xs text-gray-300 italic hover:text-gray-500 transition-colors","children":"tickerdossier.com"}],["$","a",null,{"href":"https://tickerdossier.substack.com","target":"_blank","rel":"noopener noreferrer","className":"text-xs text-gray-400 hover:text-gray-600 transition-colors","children":"tickerdossier.substack.com"}]]}]]}]