trait
Torsor[V, R] extends Action[V, R]
Abstract Value Members
-
abstract
def
actl(g: R, p: V): V
-
abstract
def
actr(p: V, g: R): V
-
abstract
def
diff(v: V, w: V): R
-
abstract
def
getClass(): Class[_]
Concrete Value Members
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final
def
!=(arg0: Any): Boolean
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final
def
##(): Int
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final
def
==(arg0: Any): Boolean
-
final
def
asInstanceOf[T0]: T0
-
def
equals(arg0: Any): Boolean
-
def
fixOrigin(id0: V): AbGroup[V]
-
def
hashCode(): Int
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final
def
isInstanceOf[T0]: Boolean
-
def
toString(): String
A Torsor[V, R] requires an AbGroup[R] and provides Action[V, R], plus a
diffoperator,<->in additive notation, such that:1.
(g <-> g) === scalar.idfor allginG.2.
(g <-> h) +> h === gfor allg,hinG.3.
(g <-> h) +> i === (i <-> h) +> gfor allg,hinG.4.
(g <-> h) === -(h <-> g)for allg,hinG.