DOI10.1073/pnas.80.6.1778zbMath0512.17008OpenAlexW1975899190WikidataQ37607202 ScholiaQ37607202MaRDI QIDQ4750832
Victor G. Kac, Dale H. Peterson
Publication date: 1983
Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1073/pnas.80.6.1778
Coset algebras, integrable hierarchies and matrix models,
Vogan diagrams of real forms of affine Kac-Moody Lie algebras,
Level-one representations of the affine Lie algebra \(B^{(1)}_ n\),
Locally trivial principal homogeneous spaces and conjugacy theorems for Lie algebras,
Extending the Bruhat order and the length function from the Weyl group to the Weyl monoid.,
A loop group method for affine harmonic maps into Lie groups,
Differential conformal superalgebras and their forms,
Double Bruhat cells in Kac-Moody groups and integrable systems,
\(\tau\)-functions, Birkhoff factorizations and difference equations,
A homology vanishing theorem for Kac-Moody algebras with coefficients in the category \(\mathcal O\),
Demazure character formula in arbitrary Kac-Moody setting,
Annihilating ideals of standard modules of \({\mathfrak sl}(2,{\mathbb{C}})^\sim\) and combinatorial identities,
Kac-Moody groups and integrability of soliton equations,
Affine geometric crystal of \(A_n^{(1)}\) and limit of Kirillov-Reshetikhin perfect crystals,
The nil Hecke ring and cohomology of \(G/P\) for a Kac-Moody group \(G\),
Geometric realization of conformal field theory on Riemann surfaces,
Infinite-dimensional flag manifolds in integrable systems,
A classification of involutive automorphisms of an affine Kac-Moody Lie algebra,
A result on exponents of finite-dimensional simple Lie algebras and its application to Kac-Moody algebras,
Borel-Weil-type theorem for the flag manifold of a generalized Kac-Moody algebra,
On some geometric aspects of Bruhat orderings. II: The parabolic analogue of Kazhdan-Lusztig polynomials,
Cartan subalgebras of almost split real Kac-Moody Lie algebras,
On conjugacy of Cartan subalgebras in non-FGC Lie tori,
Tits systems in a class of Kac-Moody Steinberg groups,
Generalized integrability and two-dimensional gravitation,
Orthogonal symmetric affine Kac-Moody algebras,
Final group topologies, Kac-Moody groups and Pontryagin duality,
Infinite-dimensional reductive monoids associated to highest weight representations of Kac-Moody groups,
A cohomological proof of Peterson-Kac's theorem on conjugacy of Cartan subalgebras for affine Kac-Moody Lie algebras,
Toroidal groups1,
An algebraic geometric model of an action of the face monoid associated to a Kac-Moody group on its building,
Affine geometric crystals and limit of perfect crystals,
Maps between classifying spaces of Kac--Moody groups,
Regularity theorem for totally nonnegative flag varieties,
Affine Kac-Moody groups and Lie algebras in the language of SGA3,
Classification of almost compact real forms of affine Kac-Moody algebras,
On conjugacy of Cartan subalgebras in extended affine Lie algebras,
Simple Kac-Moody groups with trivial Schur multipliers,
Tau-functions and dressing transformations for zero-curvature affine integrable equations,
Cluster ensembles and Kac-Moody groups,
Real forms of extended Kac-Moody symmetries and higher spin gauge theories,
A Matsumoto-type theorem for Kac-Moody groups,
Bernstein-Gelfand-Gelfand resolution for arbitrary Kac-Moody algebras,
Loop groups and related affine Lie algebras,
τ functions and zero curvature equations of Toda–AKNS type,
Quantum symmetric Kac-Moody pairs,
Bosonic and fermionic realizations of the affine algebra \(\widehat {gl_ n}\),
Invariants of real forms of affine Kac-Moody Lie algebras,
Systèmes de racines infinis,
Galois cohomology and forms of algebras over Laurent polynomial rings,
On automorphisms of Kac-Moody algebras and groups,
Some forms of Kac-Moody algebras,
Combinatorial integers \(\binom{m,n}{j}\) and Schubert calculus in the integral cohomology ring of infinite smooth flag manifolds,
Extended geometries,
Ultra-Discretization of the affine G_2 Geometric Crystals to Perfect Crystals,
Beyond \(E_{11}\),
Non-conjugacy of maximal abelian diagonalizable subalgebras in extended affine Lie algebras,
Cancellation of divergences up to three loops in exceptional field theory,
The solution space of the unitary matrix model string equation and the Sato Grassmannian,
Spherical subgroups of Kac-Moody groups and transitive actions on spherical varieties,
Classification of simple graded Lie algebras of finite growth,
Irreducible modules for extended affine Lie algebras,
Geometric crystals on Schubert varieties,
Projections in Kac-Moody Lie Algebras,
Uniqueness and presentation of Kac-Moody groups over fields,
Geometric crystals on flag varieties and unipotent subgroups of classical groups,
Tropical R maps and affine geometric crystals,
Eisenstein series for infinite-dimensional U-duality groups,
Conjugacy classes in affine Kac-Moody groups and principal \(G\)-bundles over elliptic curves,
Buildings as Inner Ideal Geometries,
A master exceptional field theory,
Kazhdan-Lusztig conjecture for affine Lie algebras with negative level,
Geometric crystals and cluster ensembles in Kac-Moody setting,
The representation theory of inner almost compact forms of Kac-Moody algebras,
Affine Kac-Moody algebras and semi-infinite flag manifolds,
A filtration of the loops on SU\((N)\) by Schubert varieties,
Actions of the face monoid associated to a Kac-Moody group on its building,
Groups associated with compact type subalgebras of Kac-Moody algebras,
Some Tits systems with affine Weyl groups in Chevalley groups over Dedekind domains,
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>E</mml:mi><mml:mn>10</mml:mn></mml:msub></mml:math>and a Small Tension Expansion of M Theory,
Willmore surfaces in spheres: the DPW approach via the conformal Gauss map,
$A^{(1)}_{n}$ -Geometric Crystal Corresponding to Dynkin Index i=2 and Its Ultra-Discretization,
A characterization theorem for a certain class of graded Lie superalgebras,
Double \(\mathbb{Z}\)-graded Lie algebras containing a Heisenberg algebra,
Prescribed Gauss decompositions for Kac-Moody groups over fields,
Computation of generalized equivariant cohomologies of Kac--Moody flag varieties,
Unitary structure in representations of infinite-dimensional groups and a convexity theorem,
Two-dimensional representations of affine Kac-Moody groups,
Affine Kac-Moody algebras graded by affine root systems,
Geometric crystals on unipotent groups and generalized Young tableaux,
On some geometric aspects of Bruhat orderings. I: A finer decomposition of Bruhat cells,
Generators and relations in compact Lie groups,
Tau-functions and generalized integrable hierarchies,
Birkhoff decompositions and Iwasawa decompositions for loop groups,
Parabolic Kazhdan-Lusztig polynomials and Schubert varieties,
Symplectic \(K_ 2\) of Laurent polynomials, associated Kac-Moody groups and Witt rings,
Functional realization of basic representations of factorizable Lie groups and algebras,
Gauss decompositions of kac-moody groups,
Covering algebras. I: Extended affine Lie algebras,
Affine Kac-Moody Lie algebras as torsors over the punctured line,
Generalized Kac-Moody algebras and some related topics,
Pseudo-symmetric pairs for Kac-Moody algebras,
Ultra-discretization of 𝐷₆⁽¹⁾- geometric crystal at the spin node,
The n-component KP hierarchy and representation theory,
Conjugacy of Cartan subalgebras in EALAs with a non-fgc centreless core,
The formal model of semi-infinite flag manifolds,
Bounded generation and commutator width of Chevalley groups: function case,
Consistent truncation of eleven-dimensional supergravity on \(S^8 \times S^1\),
Nilpotent orbits of Kac-Moody algebras and its parameterization for $\mathfrak{sl}_n^{(1)}(\mathbb C)$,
D6(1)-geometric crystal at the spin node,
Partial flag manifolds over a semifield,
AUTOMORPHISMS AND DERIVATIONS OF NILRADICALS OF BOREL SUBALGEBRAS IN KAC–MOODY ALGEBRAS,
On Cartan subalgebras,
Finite order automorphisms and real forms of affine Kac-Moody algebras in the smooth and algebraic category,
Unnamed Item,
Hirota equations associated with simply laced affine Lie algebras: The cuspidal class E6 of ${\mathfrak {e}}_6^{(1)}$e6(1),
Conjugacy theorems for loop reductive group schemes and Lie algebras,
Defining equations for supergroup orbits in super Clifford modules,
AUTOMORPHISMS OF TOROIDAL LIE ALGEBRAS AND THEIR CENTRAL QUOTIENTS,
Weierstraß-type representation of affine spheres,
D5(1)-Geometric crystal corresponding to the Dynkin spin node i = 5 and its ultra-discretization,
Certain Classes of Automorphisms of Infinite Rank Affine Lie Algebras,
Kac-moody groups over fields with trivial K2,
On representations of affine Kac-Moody groups and related loop groups,
On the simplicity of some kac-moody groups