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Subindex: OperationsForTwistedRootData  ..  ops


OperationsForTwistedRootData

   RootDtm_OperationsForTwistedRootData (Example H85E9)

Operator

   AtkinLehnerOperator(A) : ModAbVar -> MapModAbVar
   AtkinLehnerOperator(A, q) : ModAbVar, RngIntElt -> MapModAbVar, RngIntElt
   AtkinLehnerOperator(M, p) : ModBrdt, RngIntElt -> AlgMatElt
   AtkinLehnerOperator(M, q) : ModFrm, RngIntElt -> AlgMatElt
   AtkinLehnerOperator(M, q) : ModSS, RngIntElt -> AlgMatElt
   DifferentialOperator(f) : RngUPolElt -> RngDiffOpElt
   DifferentialOperatorRing(F) : RngDiff -> RngDiffOp
   DualHeckeOperator(M, n) : ModSym, RngIntElt -> AlgMatElt
   HeckeOperator(A, n) : ModAbVar, RngIntElt -> MapModAbVar
   HeckeOperator(M, n) : ModBrdt, RngIntElt -> AlgMatElt
   HeckeOperator(M, n) : ModFrm, RngIntElt -> AlgMatElt
   HeckeOperator(M, n) : ModSS, RngIntElt -> AlgMatElt
   HeckeOperator(M, n) : ModSym, RngIntElt -> AlgMatElt
   IntegralHeckeOperator(M, n) : ModSym, RngIntElt -> AlgMatElt
   IsDifferentialOperatorRing(R) : . -> BoolElt
   IsFuchsianOperator(L) : RngDiffOpElt -> BoolElt, SetEnum
   IsHeckeOperator(phi) : MapModAbVar -> BoolElt, RngIntElt
   IsRegularSingularOperator(L) : RngDiffOpElt -> BoolElt, SetEnum
   MonicDifferentialOperator(L) : RngDiffOpElt -> RngDiffOpElt
   ReynoldsOperator(f, G) : RngMPolElt, GrpMat -> RngMPolElt
   ThetaOperator(M1, M2) : ModSym, ModSym -> Map

operator

   Operators (OVERVIEW)

operator:=

   x o:= expression;

Operators

   ModSS_Operators (Example H110E8)
   ModSym_Operators (Example H108E15)

operators

   Differential Operators of Algebraic Functions (DIFFERENTIAL RINGS, FIELDS AND OPERATORS)
   Equality Operators (STATEMENTS AND EXPRESSIONS)
   Hecke and Atkin-Lehner Operators (MODULAR ABELIAN VARIETIES)
   Hecke Operators (BRANDT MODULES)
   Operations on Elements (GROUPS OF LIE TYPE)
   Operators (MODULAR FORMS)
   Operators (MODULAR SYMBOLS)
   Operators (SUPERSINGULAR DIVISORS ON MODULAR CURVES)
   Operators on Root Data (ROOT DATA)
   Operators on Root Systems (ROOT SYSTEMS)

Operators-Creation

   ModAbVar_Operators-Creation (Example H112E112)

Operators-Invariants

   ModAbVar_Operators-Invariants (Example H112E113)

operators-of-functions

   Differential Operators of Algebraic Functions (DIFFERENTIAL RINGS, FIELDS AND OPERATORS)

operators-root-dtm

   Operators on Root Data (ROOT DATA)

operators-root-sys

   Operators on Root Systems (ROOT SYSTEMS)

Opposite

   OppositeAlgebra(B) : AlgBas -> AlgBas
   AlgBas_Opposite (Example H71E8)

opposite

   Opposite Algebras (BASIC ALGEBRAS)

opposite-algebras

   Opposite Algebras (BASIC ALGEBRAS)

OppositeAlgebra

   OppositeAlgebra(B) : AlgBas -> AlgBas

ops

   Arithmetic of Elements (ORDERS OF ASSOCIATIVE ALGEBRAS)
   Arithmetic of Elements (QUATERNION ALGEBRAS)
   Arithmetic of Ideals (ORDERS OF ASSOCIATIVE ALGEBRAS)
   Completion at Places (ALGEBRAIC FUNCTION FIELDS)
   Creation of Elements (ORDERS OF ASSOCIATIVE ALGEBRAS)
   Creation of Elements (QUATERNION ALGEBRAS)
   Creation of Ideals (ORDERS OF ASSOCIATIVE ALGEBRAS)
   Decomposition of an Algebra (ALGEBRAS)
   Decomposition of an Associative Algebra (ASSOCIATIVE ALGEBRAS)
   Elementary Operations (FINITE PLANES)
   Functions on Elements (ALGEBRAIC FUNCTION FIELDS)
   Functions related to Orders and Integrality (ALGEBRAIC FUNCTION FIELDS)
   Functions related to Places and Divisors (ALGEBRAIC FUNCTION FIELDS)
   Further Ideal Operations (ALGEBRAIC FUNCTION FIELDS)
   Kashiwara Operators (QUANTUM GROUPS)
   Operations and Properties for Root and Coroot Indices (COXETER GROUPS AS PERMUTATION GROUPS)
   Operations and Properties for Root and Coroot Indices (GROUPS OF LIE TYPE)
   Operations and Properties for Root and Coroot Indices (ROOT DATA)
   Operations and Properties for Roots and Coroot Indices (ROOT SYSTEMS)
   Operations at a Point (ALGEBRAIC CURVES)
   Operations not associated with Duval's Algorithm (NEWTON POLYGONS)
   Operations on Algebras and Subalgebras (ALGEBRAS)
   Operations on Associative Algebras (ASSOCIATIVE ALGEBRAS)
   Operations on Associative Algebras and their Elements (ASSOCIATIVE ALGEBRAS)
   Operations on Elements (ALGEBRAIC FUNCTION FIELDS)
   Operations on Elements (ALGEBRAS)
   Operations on Elements (ASSOCIATIVE ALGEBRAS)
   Operations on Elements (GROUP ALGEBRAS)
   Operations on Elements (QUANTUM GROUPS)
   Operations on Elements of an Algebra (ALGEBRAS)
   Operations on Group Algebras (GROUP ALGEBRAS)
   Operations on Group Algebras and their Subalgebras (GROUP ALGEBRAS)
   Operations on Ideals (QUATERNION ALGEBRAS)
   Operations on Subalgebras (ALGEBRAS)
   Operations with Orders (ORDERS OF ASSOCIATIVE ALGEBRAS)
   Operations with Orders (QUATERNION ALGEBRAS)
   Operations with Pseudo Matrices (MODULES OVER DEDEKIND DOMAINS)
   Other Element Operations (ALGEBRAIC FUNCTION FIELDS)
   Other Element Operations (ALGEBRAIC FUNCTION FIELDS)
   Predicates on Modules (MODULES OVER DEDEKIND DOMAINS)
   Representations of Associative Algebras (ASSOCIATIVE ALGEBRAS)
   Set Operations (FINITE SOLUBLE GROUPS)
   Using Newton Polygons to Find Roots of Polynomials over Series Rings (NEWTON POLYGONS)


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