the causes and the crimes relate;
What goddess was provokd, and whence her hate; 
For what offence the Queen of Heavn began 
To persecute so brave, so just a man; [...] 

—Virgil (c. 29 - 19 BCE), in Book I of the Aeneid (John Dryden translation, 1697)
Besides Homer and Virgil, other famous works that included an invocation of the Muse are the first of the carmina by Catullus, Ovids Metamorphoses and Amores, Dantes Inferno (Canto II), Chaucers Troilus and Criseyde (Book II), Shakespeares Henry V (Act 1, Prologue), his 38th sonnet, and Miltons Paradise Lost (openings of Books 1 and 7). In cults and modern museums
When Pythagoras arrived at Croton, his first advice to the Crotoniates was to build a shrine to the Muses at the center of the city, to promote civic harmony and learning. Local cults of the Muses often became associated with springs or with fountains. The Muses themselves were sometimes called Aganippids because of their association with a fountain called Aganippe. Other fountains, Hippocrene and Pirene, were also important locations associated with the Muses. Some sources occasionally referred to the Muses as "Corycides" (or "Corycian nymphs") after a cave on Mount Parnassos, called the Corycian Cave. Pausanias referred to the Muses by the surnames "Ardalides" or "Ardaliotides", because of a sanctuary to them at Troezen said to have been built by the mythical Ardalus.
Cult
The Muses had several temples and shrines in ancient Greece, their two main cult centres being Mount Helikon in Boiotia and Pieria in Makedonia. Strabo wrote: 

"Helikon, not far distant from Parnassos, rivals it both in height and in circuit; for both are rocky and covered with snow, and their circuit comprises no large extent of territory. Here are the temple of the Mousai and Hippukrene and the cave of the Nymphai called the Leibethrides; and from this fact one might infer that those who consecrated Helikon to the Mousai were Thrakians, the same who dedicated Pieris and Leibethron and Pimpleia [in Pieria] to the same goddesses. The Thrakians used to be called Pieres, but, now that they have disappeared, the Makedonians hold these places. "The cult of the Muses was also commonly connected to that of Apollo. Emblems
Some Greek writers give the names of the nine Muses as Kallichore, Helike, Eunike, Thelxinoë, Terpsichore, Euterpe, Eukelade, Dia, and Enope.In Renaissance and Neoclassical art, the dissemination of emblem books such as Cesare Ripas Iconologia (1593 and many further editions) helped standardize the depiction of the Muses in sculpture and painting, so they could be distinguished by certain props. These props, or emblems, became readily identifiable by the viewer, enabling one immediately to recognize the Muse and the art with which she had become associated.